C(x) - 1700 + 5x + 0.08x² + 0.0004x³. (a) Find the marginal cost function (b) Find C'(100) C'(100) What does this predict? The exact cost of the 101st pair of jeans The exact cost of the 100th pair of jeans The approximate cost of the 100th pair of jeans The approximate cost of the 101st pair of jeans The exact cast of the 99th pair of jeans. (c) Find the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans (Round your answer to two decimal places)

Answers

Answer 1

(a) The marginal cost function is C'(x) = 5 + 0.16x + 0.0012x².

(b) C'(100) = 21.00. This predicts the approximate cost of the 101st pair of jeans.

(c) The difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans is $20.51.

(a) To find the marginal cost function, we need to take the derivative of the cost function C(x) with respect to x:

C'(x) = 5 + 0.16x + 0.0012x²

(b) To find C'(100), we substitute x = 100 into the marginal cost function:

C'(100) = 5 + 0.16(100) + 0.0012(100)²
C'(100) = 21.00

This predicts the approximate cost of the 101st pair of jeans, as the marginal cost function tells us the cost of producing one additional unit (pair of jeans) at a given quantity. So, we can use C'(100) to estimate the cost of producing the 101st pair of jeans.

To find the approximate cost of the 100th pair of jeans, we can substitute x = 100 into the cost function C(x):

C(100) = -1700 + 5(100) + 0.08(100)² + 0.0004(100)³
C(100) = $2330

So, the approximate cost of the 100th pair of jeans is $2330.

To find the approximate cost of the 101st pair of jeans, we can add C'(100) to the cost of producing 100 pairs of jeans:

C(100) + C'(100) = $2330 + $21.00
C(101) ≈ $2351

So, the approximate cost of the 101st pair of jeans is $2351.

To find the exact cost of the 99th pair of jeans, we can substitute x = 99 into the cost function C(x):

C(99) = -1700 + 5(99) + 0.08(99)² + 0.0004(99)³
C(99) = $2288.44

So, the exact cost of the 99th pair of jeans is $2288.44.

(c) To find the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans, we need to subtract the cost of producing 100 pairs of jeans from the cost of producing 101 pairs of jeans:

C(101) - C(100) = [-1700 + 5(101) + 0.08(101)² + 0.0004(101)³] - [-1700 + 5(100) + 0.08(100)² + 0.0004(100)³]
C(101) - C(100) = $20.51

So, the difference between C'(100) and the actual cost of manufacturing the 101st pair of jeans is $20.51.

For more such questions on Marginal cost function.

https://brainly.com/question/29583181#

#SPJ11


Related Questions

If p : q = 2/3 : 2 and p : r = 3/4 : 1/2 , calculate the ratio p : q : r Giving your answer in its simplest form.
please help i mark it as brainly

Answers

If p : q = 2/3 : 2 and p : r = 3/4 : 1/2 , the ratio of p : q : r in its simplest form is 32 : 27 : 24.

To calculate the ratio p : q : r, we need to first find the values of p, q, and r. We can use the given proportions to set up a system of equations and solve for the variables.

From the first proportion, we know that:

p/q = 2/3 : 2

We can simplify this by cross-multiplying:

p = (2/3) * 2q

p = (4/3)q

From the second proportion, we know that:

p/r = 3/4 : 1/2

Again, we can cross-multiply and simplify:

p = (3/4) * r/(1/2)

p = (3/2)r

Now we have two equations for p in terms of q and r. We can substitute these into each other and solve for q and r:

(4/3)q = (3/2)r

r/q = (8/9)

q/r = (9/8)

Now we have the ratios of r to q and q to r. We can use these to find the ratio of p, q, and r:

p : q : r = p : q * (9/8) : r * (8/9)

Substituting the values we found for p in terms of q and r:

p : q : r = (4/3)q : q * (9/8) : r * (8/9)

Simplifying:

p : q : r = 32 : 27 : 24

To learn more about ratio click on,

https://brainly.com/question/25704465

#SPJ1

Kay invests £1500 in an account paying 3% compound interest per year.


Neil invests £1500 in an account paying r% simple interest per year.



At the end of the 5th year, Kay and Neil’s account both contain the same amount of money



Calculate r.


Give your answer correct to 1 decimal place

Answers

The rate of interest that Neil gets, r%, comes out to be 3.18%

Compound interest is calculated as follows:

A = P[tex](1+r)^t[/tex]

where A is the amount

P is the principal

r is the rate of interest

t is the time

Simple interest can be calculated as:

A = P (1 + r * t)

where A is the amount

P is the principal

r is the rate of interest

t is the time

For Kay,

P = £1500

t = 5 years

r = 3% compound annually

A = 1500 [tex](1+0.03)^5[/tex]

= 1500 * [tex]1.03^5[/tex]

= £ 1,738.91

For Neil,

P = £1500

t = 5 years

r = r% simple interest

According to the question,

A = 1738.91

1500 ( 1 + r * 5) = 1738.91

1 + 5r = 1.159

5r = 0.159

r = 0.0318

r% = 3.18%

Learn more about Compound Interest:

https://brainly.com/question/30364118

#SPJ4

An object has a mass of 4. 70g. Calculate the Density of the object volume is 2. 55L

Answers

The density of the object is 0.0018 g/mL.

To calculate the density of the object, we need to use the formula:

Density = Mass / Volume

Given that the mass of the object is 4.70g and the volume is 2.55L, we can substitute these values into the formula:

Density = 4.70g / 2.55L

We need to convert the units of mass and volume to a consistent unit. Let's convert the volume from liters to milliliters (1L = 1000mL):

Density = 4.70g / 2550mL

Now we can simplify by dividing both the numerator and denominator by 10:

Density = 0.47g / 255mL

Finally, we can express the answer in units of g/mL:

Density = 0.0018 g/mL

Therefore, the density of the object is 0.0018 g/mL.

To know more about density refer here:

https://brainly.com/question/30636123?#

#SPJ11

The profit in dollars from the sale of x expensive watches is P(x) = 0.08x² - 5x + 6x0.2 - 5200 Find the marginal profit when (a) x = 300. (b) x = 2000, (c) X = 5000, and (d) x = 12,000.

Answers

The marginal profit in dollars for the sale of expensive watches when approximately $1912.61.

Find the marginal profit in dollars from the sale?

We need to find the marginal profit in dollars from the sale of x expensive watches for the given profit function P(x) = 0.08x² - 5x + 6x^0.2 - 5200 when (a) x = 300, (b) x = 2000, (c) x = 5000, and (d) x = 12,000.

Find the derivative of the profit function P(x), which represents the marginal profit.
P'(x) = dP(x)/dx = 0.16x - 5 + (6 * 0.2 * x^(-0.8))

Calculate the marginal profit for each specified value of x:

x = 300:
P'(300) = 0.16(300) - 5 + (6 * 0.2 * 300^(-0.8)) ≈ 42.57

x = 2000:
P'(2000) = 0.16(2000) - 5 + (6 * 0.2 * 2000^(-0.8)) ≈ 317.52

x = 5000:
P'(5000) = 0.16(5000) - 5 + (6 * 0.2 * 5000^(-0.8)) ≈ 794.57

x = 12,000:
P'(12,000) = 0.16(12,000) - 5 + (6 * 0.2 * 12,000^(-0.8)) ≈ 1912.61

So, the marginal profit in dollars for the sale of expensive watches when (a) x = 300 is approximately $42.57, (b) x = 2000 is approximately $317.52, (c) x = 5000 is approximately $794.57, and (d) x = 12,000 is approximately $1912.61.

Learn more about derivative.

brainly.com/question/25324584

#SPJ11

Will give brainliest

find the area of this triangle.
round to the nearest tenth.
12 cm
330
5.5 cm
[ ? ] cm2

Answers

Answer:

30 cm²

Step-by-step explanation:

Formula : [tex]Area = \frac{hb}{2}[/tex]

What is the difference in credit score between those over the age of 55 and those between 18-24 years old?

Answers

According to recent studies, there is a notable difference in credit scores between those over the age of 55 and those between the ages of 18-24.

On average, individuals over the age of 55 tend to have higher credit scores than those in the 18-24 age range. This is primarily due to the fact that older individuals have had more time to establish and build their credit history, whereas younger individuals are just starting out and may not have had the opportunity to establish credit yet.

Additionally, older individuals tend to have more stable financial situations and may have less debt compared to younger individuals who may be dealing with student loans or other types of debt.

However, it's important to note that credit scores can vary greatly between individuals, regardless of age, and there are many factors that contribute to credit score, such as payment history, credit utilization, and length of credit history.

To know more about credit score:

https://brainly.com/question/29548283

#SPJ11

Find the absolute extrema if they exist, as well as all values of where they occur, for the function f(x) = 8+x/2-x on the domain [-2, 0]
Find the derivative of f(x) = 8+x/2-x
f'(x) = ...

Answers

The absolute maximum is f(-2) = 10/3, and absolute minimum is f(0) = 8.

How to determined the absolute extrema?

First, let's find the derivative of the function:

f(x) = 8+x/2-x

f'(x) = (1/2) - 1 = -1/2

Next, we need to find the critical points of the function on the given domain.

In this case, the derivative is always defined and is never zero. Therefore, there are no critical points on the given domain.

Next, we check the endpoints of the domain, x = -2 and x = 0:

f(-2) = 8 + (-2)/(2-(-2)) = 10/3

f(0) = 8 + 0/(2-0) = 8

Since the function is continuous on the closed interval [-2, 0],

The extreme value theorem tells us that the function must have both an absolute maximum and an absolute minimum on the interval.

Therefore, the absolute maximum occurs at x = -2 and is f(-2) = 10/3, and the absolute minimum occurs at x = 0 and is f(0) = 8.

Learn more about absolute extrema

brainly.com/question/2272467

#SPJ11

Josh wants to simplify the expression (-8)(10+(-5)+(-8))

Answers

Therefore, the simplified expression is 24.

To simplify the expression (-8)(10+(-5)+(-8)), you first need to solve the parentheses, following the order of operations, which requires solving the addition and subtraction within the parentheses before multiplying.

So, you have (-8)(10-5-8), which becomes (-8)(-3) after solving the parentheses. Finally, you can solve the multiplication by multiplying -8 by -3, resulting in 24.

It's important to remember the order of operations when simplifying expressions, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

You can read more about simplifying expressions at https://brainly.com/question/723406

#SPJ11

Cooper is studying two fractions that are both less than 1 the first fraction has a denominator of 4 and rounds to 1. the second fraction has a denominator of 6 and the same numerator as the first fraction is the second fraction closest to 1 or 17 explain

Answers

The first fraction is closer to 1, while the second fraction is closer to 17.

Let's first determine the value of the first fraction with a denominator of 4, which rounds to 1.

Since the fraction is less than 1 and rounds to 1, its numerator must be 3. Therefore, the first fraction is:

3/4 = 0.75

Now let's consider the second fraction, which has a denominator of 6 and the same numerator as the first fraction. So its value is:

3/6 = 1/2 = 0.5

To determine which fraction is closer to 1 or 17, we need to calculate the absolute difference between the value of each fraction and 1 or 17, and then compare those differences.

For the first fraction, the absolute difference between 0.75 and 1 is:

|1 - 0.75| = 0.25

The absolute difference between 0.75 and 17 is:

|17 - 0.75| = 16.25

For the second fraction, the absolute difference between 0.5 and 1 is:

|1 - 0.5| = 0.5

The absolute difference between 0.5 and 17 is:

|17 - 0.5| = 16.5

Therefore, the first fraction is closer to 1, while the second fraction is closer to 17.

Learn more about fraction;

brainly.com/question/729654

#SPJ4

1. at which location in new york state


would one least expect to find fossils in


the surface bedrock?

Answers

One would least expect to find fossils in the surface bedrock in the Adirondack Mountains region of New York State.

This region is known for having some of the oldest rocks in North America, dating back over a billion years. These rocks were formed through volcanic activity and mountain-building processes that occurred long before the evolution of complex life forms.

As a result, the rocks in the Adirondack Mountains are generally not rich in fossils, especially those of plants and animals that evolved much later in Earth's history.

In contrast, other regions of New York State, such as the Hudson Valley and the Finger Lakes region, have rocks that are more conducive to fossil preservation. These regions were covered by shallow seas at various times in the past, allowing for the accumulation of sediment and the preservation of fossils of marine organisms.

To learn more about fossil, click here:

https://brainly.com/question/31419516

#SPJ11

What is the slope of the line that passes thru (4,-12 and (7,6)

Answers

Answer:

 = 9

Step-by-step explanation:

Slope  = (y1-y2)/(x1-x2)

           = -12-6/4-6

           =  -18/-2

           = 9

A lawn sprinkler sprays water 2.5 meters in every direction as it rotates. What is the area of the sprinkled lawn?

Answers

The area of the sprinkled lawn is approximately 19.625 square meters.

What is the area of the sprinkled lawn?

The formula for the area of a circle is:

A = πr²

Where A is the area and r is the radius and π is constant pi ( 3.14 ).

If the sprinkler as a circle with a radius of 2.5 meters. The area that the sprinkler can cover is the area of this circle.

Here, the radius is 2.5 meters, so we can substitute that into the formula:

A = πr²

A = 3.14 × 2.5²

Area = 3.14 × 6.25

Area = 19.625 m²

Therefore, the area is 19.625 m²

Learn more about circles here:https://brainly.com/question/20693416

#SPJ1

Troy went to a Westwood Wasps basketball game on Saturday night. He paid $86.25 for a ticket to the game. He also had to pay for the 3 hours his car was parked in the parking garage. Troy spent a total of $99.

Which equation can you use to find the cost, x, for each hour Troy's car was parked in the garage?

Answers

The equation is 86.25 + 3x = 99.

How to determine the equation that can be used to find the cost per hour for Troy's car parking in the garage?

Let's assume the cost for each hour Troy's car was parked in the garage is x dollars.

Since Troy spent a total of $99, we can set up an equation based on the given information.

The cost of the ticket to the basketball game is $86.25, and Troy also had to pay for 3 hours of parking. Therefore, the equation can be written as:

86.25 + 3x = 99

In this equation, 86.25 represents the cost of the ticket, 3x represents the cost of parking for 3 hours at a rate of x dollars per hour, and 99 represents the total amount Troy spent.

Therefore, the equation is 86.25 + 3x = 99.

Learn more about the cost for each hour at Troy's.

brainly.com/question/30076036

#SPJ11

Determine the equation of the tangent plane to the surface z = y ln x at the point (1, 4, 0)

Answers

z = 4(x - 1) - ln (y - 4)

Therefore, the equation of the tangent plane to the surface z = y ln x at the point (1, 4, 0) is z = 4(x - 1) - ln (y - 4).

To determine the equation of the tangent plane to the surface z = y ln x at the point (1, 4, 0), we first need to find the partial derivatives of the surface with respect to x and y.

∂z/∂x = y/x

∂z/∂y = ln x

Then, we can use these partial derivatives along with the point (1, 4, 0) to find the equation of the tangent plane using the formula:

z - z0 = ∂z/∂x(x0, y0)(x - x0) + ∂z/∂y(x0, y0)(y - y0)

where (x0, y0, z0) is the given point.

Plugging in the values, we have:

z - 0 = (4/1)(x - 1) + ln 1(y - 4)

Simplifying:

z = 4(x - 1) - ln (y - 4)

Therefore, the equation of the tangent plane to the surface z = y ln x at the point (1, 4, 0) is z = 4(x - 1) - ln (y - 4).

Learn more about tangent plane here:

https://brainly.com/question/30260323

#SPJ11

2 Gracie created the table of x and y
values shown here.
X
y
1
0
Fy=2x-2
Gy= 2x + 2
MathWarm-Ups.com
3
-4
5
-8
7
-12
Which equation represents the relationship
between the x values and the y values in
the table?
7.11A
H y = -2x + 2
J_y=-2x - 2
7.7A
r
F

Answers

The equation of the line passing through the given points is y = -2x+2.

Given that are the values of x and y coordinates we need to find the equation of the line using them,

So, considering the points (1, 0) and (3, -4),

We know that the equation of a line passing through points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) are (1, 0) and (3, -4),

Therefore, the required equation is =

y-0 = -4-0/3-1 (x-1)

y = -2x + 2

Hence, the equation of the line passing through the given points is y = -2x+2.

Learn more about equation of the line click

https://brainly.com/question/21511618

#SPJ1

you are planning a trip to australia. your hotel will cost you a$110 per night for seven nights. you expect to spend another a$3,400 for meals, tours, souvenirs, and so forth. how much will this trip cost you in u.s. dollars if $1

Answers

The total cost of the trip in U.S. dollars as per given rates and conversion is equal to approximately USD 3,232.58.

Total cost of the trip in U.S. dollars,

Convert the Australian dollars to U.S. dollars.

Using the exchange rate of 0.7752 USD per 1 AUD.

The cost of the hotel is,

7 nights × A$110/night = A$770

To convert this to U.S. dollars, multiply by the exchange rate,

A$770 × 0.7752 USD/AUD

= USD 596.904

Expected cost of meals, tours, souvenirs, etc. is,

A$3,400

Convert this to U.S. dollars, we again multiply by the exchange rate,

A$3,400 × 0.7752 USD/AUD

= USD 2,635.68

Total cost of the trip in U.S. dollars is the sum of these two amounts is,

USD 596.904 + USD 2,635.68 = USD 3,232.584

Rounding to two decimal places = approximately USD 3,232.58.

Therefore, the cost of the trip in the U.S. dollars is equal to approximately USD 3,232.58.

Learn more about trip here

brainly.com/question/15698942

#SPJ4

The above question is incomplete, the complete question is:

You are planning a trip to Australia. your hotel will cost you a$110 per night for seven nights. you expect to spend another a$3,400 for meals, tours, souvenirs, and so forth. How much will this trip cost her in U.S. dollars if the USD equivalent is .7752?

James says the fraction 3 4 has the same value as the expression 4 ÷ 3. Use the drop-down menus to state whether you agree or not, and why. James is Choose. . A fraction can be interpreted as division of the Choose. By the Choose.

Answers

James says the fraction 3/4 has the same value as the expression 4 ÷ 3. I disagree with James' statement.

The fraction 3/4 is not the same as the expression 4 ÷ 3. A fraction can be interpreted as division of the numerator (top number) by the denominator (bottom number). In this case, 3/4 represents the division of 3 by 4, whereas 4 ÷ 3 represents the division of 4 by 3. These two expressions have different values and are not equal.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

More on fractions: https://brainly.com/question/12220774

#SPJ11

Please help

Factor out the GCF.
6x²-3x - 18

Factor completely and show/explain each step.

Answers

Answer:

3(x - 2)(2x + 3)

Step-by-step explanation:

6x² - 3x - 18 ← factor out GCF of 3 from each term

= 3(2x² - x - 6) ← factor the quadratic

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 6 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

2x² - 4x + 3x - 6 ( factor the first/second and third/fourth terms )

= 2x(x - 2) + 3(x - 2) ← factor out (x - 2) from each term

= (x - 2)(2x + 3) ← in factored form

then

6x² - 3x - 18 = 3(x - 2)(2x + 3)

Jack claims that QRST is a parallelogram. If m∠R = 72, m∠T = 108, and m∠S = 72, is he correct? Explain

Answers

We can conclude that Jack's claim is correct. QRST is indeed a parallelogram, since opposite angles in QRST are congruent, and opposite sides in a parallelogram are also congruent

To determine whether Jack's claim that QRST is a parallelogram is correct, we need to use the properties of parallelograms. One of the properties of a parallelogram is that opposite angles are congruent. Therefore, we need to check if the opposite angles in QRST are congruent.

If m∠R = 72 and m∠T = 108, then the sum of these angles is 180 degrees (72 + 108 = 180). This indicates that angles R and T are supplementary.

If m∠S = 72, then we need to find the measure of angle Q. Since QRST is a quadrilateral, the sum of its interior angles is 360 degrees.

m∠Q + m∠R + m∠S + m∠T = 360

Substituting the given values, we get:

m∠Q + 72 + 72 + 108 = 360

Simplifying the equation, we get:

m∠Q = 108

Therefore, angles Q and S are congruent (both measuring 72 degrees) and angles R and T are supplementary (measuring 72 and 108 degrees, respectively). Since opposite angles in QRST are congruent, and opposite sides in a parallelogram are also congruent, we can conclude that Jack's claim is correct. QRST is indeed a parallelogram.

More on parallelogram: https://brainly.com/question/11803780

#SPJ11

Solve the seperable differential equation 1 9yy' = 2. Use the following initial condition: y(9) = 7. = Express x? in terms of y. x2 = (function of y).

Answers

the solution to the differential equation is: x = (1/36) y² - (13/36) Note that this equation represents a parabolic curve in the (x,y)-plane, opening upwards and with its vertex at (-13/36,0).

We can start by separating the variables and integrating both sides of the equation:

1/9 y dy = 2 dx

Integrating both sides with respect to their respective variables, we get:

(1/18) y² = 2x + C

where C is the constant of integration.

Using the initial condition y(9) = 7, we can substitute x=9 and y=7 to solve for C:

(1/18) (7²) = 2(9) + C

C = 49/2 - 18 = 13/2

Substituting this value of C back into the general solution, we get:

(1/18) y² = 2x + 13/2

Simplifying and solving for x, we get:

x = (1/36) y² - (13/36)

Therefore, the solution to the differential equation is:

x = (1/36) y² - (13/36)

learn more about equation here:

brainly.com/question/29538993

#SPJ11

true or false
Solids can be "unfolded" to form different net arrangements.

Answers

Solids can be "unfolded" to form different net arrangements is a true statement.

What is the unfolding?

A net refers to a flat, two-dimensional shape that can be transformed or manipulated to form a three-dimensional object. A solid has the potential to create a variety of nets through various unfolding methods.

The term "net" for a solid refers to a flat shape that can be folded to form the solid object. it is possible to manipulate a three-dimensional object in various manners in order to produce distinct two-dimensional patterns. One can create various nets by cutting different edges of a cube and arranging the resultant faces.

Learn more about Solids  from

https://brainly.com/question/752663

#SPJ1

Larray bought roses at the flower shop for $4.50 per dozen with a 90% markup. what is the final retail price

Answers

A markup refers to the amount that is added on top of the cost price of a product to arrive at the selling price. In this case, the cost price of the roses was $4.50 per dozen. Therefore, a 90% markup would mean that the selling price is 90% more than the cost price.


To calculate the markup, we can use the following formula:
Markup = Cost Price x Markup Percentage


Markup Percentage = 90% = 0.9 (in decimal form)

Markup = $4.50 x 0.9 = $4.05

This means that the markup on the roses is $4.05 per dozen.

To calculate the final retail price, we simply need to add the markup to the cost price:
Retail Price = Cost Price + Markup

Retail Price = $4.50 + $4.05 = $8.55


Therefore, the final retail price for the roses that Larray bought at the flower shop is $8.55 per dozen.


In conclusion, Larray bought roses at the flower shop for $4.50 per dozen with a 90% markup, which resulted in a final retail price of $8.55 per dozen. The markup was calculated by multiplying the cost price by the markup percentage of 90%, and then adding it to the cost price to arrive at the selling price.

This is a common practice in the flower industry, where flower shops add a markup to the cost of their products to make a profit.

To know more about selling price refer here:

https://brainly.com/question/28017453#
#SPJ11

Aiden gave each member of his family a playlist of random songs to listen to and asked them to rate each song between 0 and 10. He compared his family’s ratings with the release year of each song and created the following scatterplot:
What would the linear equation be?

Answers

The linear equation in slope intercept form is:

y = -0.1x + 9

What is the Linear Equation from the Scatter Plot?

The formula for finding the Linear Equation in slope intercept form is expressed in the form:

y = mx + c

where:

m refers to the slope

c refers to the y-intercept

Looking at the given graph, we can see that:

The y-intercept = 9

The y-intercept is the point where the line crosses the y-axis while x-intercept is the point where the line crosses the x-axis.

Taking the two coordinates:

(1970, 7) and (1990, 5)

Slope:

m = (5 - 7)/(1990 - 1970)

m = -2/20

m = -0.1

Thus, the Equation in slope intercept form is expressed in the form of:

y = -0.1x + 9

Read more about Linear Equation at: https://brainly.com/question/28732353

#SPJ1

8


Violet is taking a computer-adaptive test, where each time she answers a question correctly, the computer gjves


her a more difficult question. Let Q be the number of questions Violet answers correctly before she misses one.


What type of variable is Q?


None of them.


Geometric


ОООО


Binomial


Algebraic

Answers

The variable Q, representing the number of questions Violet answers correctly before she misses one in a computer-adaptive test, is a Geometric variable.

This is because a geometric distribution models the number of trials needed for the first success in a series of Bernoulli trials with a constant probability of success.

Where as all aspects of a logarithmic articulation that is isolated by a short or in addition to sign is known as the term of the algebraic expression and an algebraicexpression with two non-zero terms is called a binomial.

To learn more about variable: https://brainly.com/question/28248724

#SPJ11

the following list shows the number of goals scored by a soccer team in each of 9 games. 0 0 1 1 1 3 3 4 5 how does the median number of goals scored compare with the mean number of goals scored? responses

Answers

The median number of goals scored is 1, and the mean number of goals scored is 2. The median is less than the mean, indicating a right-skewed distribution.

To find the median, we need to first put the numbers in order

0, 0, 1, 1, 1, 3, 3, 4, 5

There are an odd number of values, so the median is the middle value, which is 1.

To find the mean, we add up all the values and divide by the number of values

(0 + 0 + 1 + 1 + 1 + 3 + 3 + 4 + 5) / 9 = 2

So the mean number of goals scored is 2.

Since the median (1) is less than the mean (2), we can say that the distribution is skewed to the right. This is because the high value of 5 pulls the mean up, while the median is not affected as much by outliers.

Learn more about median here

brainly.com/question/28060453

#SPJ4

Adam is purchasing a new television that costs $2,187. 96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3. 5%. What is the interest he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)


and


Adam is purchasing a new television that costs $2,187. 96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3. 5%. What is the total amount he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)


please

Answers

he interest he will pay if he takes 2 years to pay his parents back is $153.16. The total amount he will pay if he takes 2 years to pay his parents back is $2,341.12.

To calculate the interest Adam will pay, we need to use the simple interest formula:

Interest = Principal x Rate x Time

The principal is the amount borrowed, which is $2,187.96. The rate is 3.5% per year, or 0.035 in decimal form. The time is 2 years.

Interest = $2,187.96 x 0.035 x 2 = $153.16

Therefore, Adam will pay $153.16 in interest if he takes 2 years to pay his parents back.

To calculate the total amount he will pay, we need to add the interest to the principal:

Total amount = Principal + Interest

Total amount = $2,187.96 + $153.16 = $2,341.12

Therefore, Adam will pay a total of $2,341.12 if he takes 2 years to pay his parents back.

Learn more about simple interest here: https://brainly.com/question/25793394

#SPJ11

Quickly please anyone

f(x) = 6x² - 3x + ²
2
X
f(-2) = [?]
Be sure to simplify your answer.

Answers

Answer:

Ans=28

Step-by-step explanation:

ƒ(x) = 6x2 - 3x + 22xf( - 2)=[?]

at ƒ(-2)

Substitute each x with -2

ƒ(-2) = 6(-2)2 - 3(-2) - 2

ƒ(-2) = 6(4) - 3(-2) - 2

ƒ(-2) = 24 + 6 + 0 - 2

ƒ(-2) = 28

I hope I was right

The standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. if 338 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 43 points? round your answer to four decimal places.

Answers

The probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).

Given that the standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. And we have a sample of size n = 338.

We need to find the probability that the mean of the sample would differ from the population mean by less than 43 points.

The standard error of the mean is given by:

SE = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

SE = 320/√338

SE ≈ 17.398

To find the probability, we need to standardize the sample mean using the standard error as follows:

Z = (X - μ) / SE

where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.

Substituting the given values, we get:

Z = (1434 - 1434) / 17.398

Z = 0

Since the mean difference is 0, we can find the probability of a difference less than 43 points by finding the probability that Z lies between -43/17.398 and 43/17.398.

Using a standard normal distribution table or calculator, we find that this probability is approximately 0.7597.

Therefore, the probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).

To learn more about population visit:

https://brainly.com/question/24786731

#SPJ11

Which recursive formula defines the sequence of f(1)=6, f(4)=12, f(7)=18

Answers

The recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

How did get the formula?

We can use the method of finite differences to find a possible recursive formula for this sequence.

First, let's compute the first few differences:

f(4) - f(1) = 6

f(7) - f(4) = 6

Since the second differences are zero, we can assume that the sequence is a quadratic sequence. Let's write it in the form f(n) = an^2 + bn + c. We can solve for the coefficients using the given values:

f(1) = a(1)^2 + b(1) + c = 6

f(4) = a(4)^2 + b(4) + c = 12

f(7) = a(7)^2 + b(7) + c = 18

Solving for a, b, and c, we get:

a = 1

b = 5

c = 0

Therefore, the recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

learn more about recursive formula: https://brainly.com/question/29224065

#SPJ1

A bank randomly selected 243 checking account customers and found that 105 of them also had savings accounts ar this same bank. Construct 95% confidence interval for the true proportion of checking account customers who also have savings accounts

Answers

The 95% CI for the genuine proportion of this bank's checking account customers who also have savings accounts is (0.3666, 0.4976).

To construct a 95% confidence interval for the true proportion of checking account customers who also have savings accounts, we can use the following formula:

CI = p ± z*√(p*(1-p)/n)

where:

CI is the confidence intervalp is the sample proportionz is the critical number for the appropriate level of confidence (95% in this example) from the standard normal distribution.n is the sample size

We are given that the sample size is n = 243 and that 105 of the customers had both checking and savings accounts. Therefore, the sample proportion is:

p = 105/243 = 0.4321

The critical value z for a 95% confidence interval is approximately 1.96 (obtained from a standard normal distribution table or calculator).

We get the following results when we plug these values into the formula:

CI = 0.4321 ± 1.96*√(0.4321*(1-0.4321)/243)

CI = 0.4321 ± 0.0655

CI = (0.3666, 0.4976)

Therefore, we can say with 95% confidence that the true proportion of checking account customers who also have savings accounts at this bank is between 0.3666 and 0.4976.

To learn more about confidence interval, visit:

brainly.com/question/13481020?referrer=searchResults

#SPJ4

Other Questions
Motivation to acquire the land in the Gadsden purchase centered around. ?a. Gaining more land for plantationsb. Completing a transcontinential railroadC. Land hunting and loggingd. Obtaining a border with mexico Part 1: Organize Your Thoughts From Franklin D. Roosevelts Address on the Occasion of the Fiftieth Anniversary of the Statue of Liberty From Our Immigrants at Ellis Island by Mrs. Francis E. ClarkCentral IdeaRemember to TIE it together. Identify the topic, think about the information provided, and explain this in one sentence. DictionWas the word choice positive or negative? Did the connotations change throughout? Example(s) from passage: Example(s) from passage:ToneHow would you sum up the authors tone in one word? Hopeful? Disappointed? Example(s) from passage: Example(s) from passage:SyntaxWhat types of sentences are used? Are they long or short? Is punctuation unique? Example(s) from passage: Example(s) from passage:PerspectiveIn one sentence, explain the authors attitude toward the topic. Part 2: Compare and Contrast Varying Viewpoints Using the information from your chart and the model below, write your compare and contrast paragraph about your authors varying viewpoints. While ___ and ____ are both about ____, their viewpoints vary greatly in their diction, tone, and syntax. In text one, the author includes positive/negative connotation to discuss ___. For example, they use words like _______ to describe ____. In text two, positive/negative connotation is used. The author uses words like ____ to describe ___. Based on the authors word choice in text one, the tone can be described as _____. On the other hand, the tone of text two is ____. The syntax also varies. Text one uses Find the total surface area of the followingcone. Leave your answer in terms of a. 4 cm3 cmSA = [ ? ]7 cmHint: Surface Area of a Cone = tre + BWhere e = slant height, and B = area of the base Why is it considered one of the best novels of the 19th century?why does reggie respond with a blank face when the prosecutor tells him "instead of trying to convert people, your true mission is saving lives."explain how bundersons language conveys a message of innocence.how does the use of comparisons enhance or detract from the case?based on his sentencing, what is judge willmores philosophy about redemption? Tayshia mailed two birthday presents in a box weighing 14 pound. One present weighed 15 pound. The other present weighed 12 pound. What was the total weight of the box and the presents. Group of answer choices311 lb1911 lb1140lb 320lb What data did the tests on the purfied substance produce? How did this data further support the hypothesis that DNA is the transforming factor? ______ solar involve(s) using light and infrared energy from the Sun entering a space through glass windows with no moving parts and no use of electrical energy A uniform plank AB of mass 20kg is supported horizontally at 20cm and 70cm marks from A the plank is in equilibrium when massese 50kg and 70kg are suspended at A and B respectively and the weight of 100N is suspended at the 40cm Mark from B A toy tugboat is launched from the side of a pond and travels North at 5cm/s. At the same moment, a toy sail ship from a point 8sqrt(2) m. Northeast of the tugboat and travels West at 7 cm/s. How closely do the two toys approach each other?\ You work for a contractor a customer wants you to install chicken wire along the perimeter of a rectangular garden that measures 8 feet by 6 feet what is the perimeter of a what is the perimeter in feet of the garden Chlorophyll is a green pigment in plants responsible for harnessing sunlight to help the plant produce sugars through the process of photosynthesis. If several tomato plants were to be grown under lamps producing only a single color of light, what would be the least effective choice for light color?Group of answer choicesgreenorangeredblue Case Study:CadburyChocolate had always been considered an affordable little luxury, associated with romance and celebrations. Therefore in 2000 and 2001, revelations that the production of cocoa in the Cte dIvoire involved child slave labor set chocolate companies, consumers, and governments reeling. In the United States, the House of Representatives passed legislation mandating that the FDA create standards to permit companies who could prove that their chocolate was produced without forced labor to label their chocolate "slave-labor free." To forestall such labeling, the chocolate industry agreed to an international protocol that would give chocolate producers, governments, and local farmers four years to curb abusive practices and put together a process of certification.The stories of child slave labor on Cte dIvoire cocoa farms hit Cadbury especially hard. While the company sourced most of its beans from Ghana, the association of chocolate with slavery represented a challenge for the company, since many consumers in the UK associated all chocolate with Cadbury. Furthermore, Cadburys culture had been deeply rooted in the religious traditions of the companys founders, and the organization had paid close attention to the welfare of its workers and its sourcing practices. In 1908, the company had ended a sourcing relationship that depended on slave labor. Now for the first time in nearly 100 years, Cadbury had to take up the question of slavery again.By the 2005 deadline, the chocolate industry was not ready to implement the protocols and asked for two years more to prepare. Privately, many industry officials believed that the kind of certification sought by the protocols was unrealistic. Because cocoa was produced on over a million small farms in western Africa, insuring that all of these farms, most located deep in the bush, complied with child labor laws seemed impossible. Furthermore because beans from numerous small farms were intermingled before shipment, it was difficult to track those produced by farms in compliance with labor standards and those that were not.In 2008, a confrontation between U.S. government officials and the industry seemed imminent. Observers argued that this left Cadbury, a company that had done much to improve its supply chain, in a difficult position.Q/ Provide FOUR (4) examples of strategic businesses or MNCs that Cadbury could learn from. Which of the following lists includes only abiotic factors?Plants, animals, average daily temperatureRainfall amounts, average daily temperature, minerals in soilMinerals in soil, plants, rainfall amountsAnimals, rainfall amounts, soil composition How many grams of so2 are in 0. 410l of so2 gas at stp? The bulldogs, a baseball team, has nine starting players the height of the starting players are 72in 71in 78in 70in 72in 72in 73in 70in and 72 in which team best describes the data value 78 in HELP PLS SHOW WORKThe environmental impact of washing a load of dirty dishes in an electric dishwasher differs from that of washing them in a sink by hand. A comparison of the two methods may allow consumers to spend their money more wisely. Use the assumptions in the table below to perform the calculations that follow.- All the dishes fit into a single load.- The water entering both the water heater and the sink is at 50 F.- The water heater and the dishwasher are both 100% efficient.- Washing the dishes by hand requires 20 gallons of water heated to 110 F.- In one complete cycle, the electric dishwasher uses 10 gallons of water heated to 140 F and the dishwasher also uses 0.500 kilowatt-hour of electrical energy for its mechanical operations.(a) A British thermal unit or BTU is the amount of energy needed to raise the temperature of one pound of water 1.0 F. Additionally, one gallon of water has a mass of 8.0 pounds. Calculate the total energy used to wash a load of dishes using the dishwasher.(b) One kilowatt-hour is equivalent to 3,400 BTUs and the cost of electricity is SO. 11 per kWh. Calculate the energy in BTU used to heat the water for washing a load of dishes by hand.(c) Calculate the cost of electricity for each dishwashing method given that one kilowatt-hour is equivalent to 3,400 BTUs and the cost of electricity is $0.11 per kWh. A motorist travelled from Town A to Town B. After travelling for 1 1/2 hours , he passeda cyclist travelling at an average speed of 45 Km/h in the opposite direction.when the motorist reached Town B 2 h later, the cyclist was 30 km away from Town A.a) Find the average speed of the motorist.b) Find the distance between Town A and Town B. Type the correct answer in the box. Spell the word correctly. Complete the sentence by filling in the blank. People in other cultures treat time differently. For example, a businessperson from an Asian country may not mind delays. If you're doing businesswith people from Germany or Switzerland, however, you should always be which of the following is not true with respect to operating leverage group of answer choices a. higher operating leverage insulates a firm from losses in bad times. b. firms with higher operating leverage have a larger contribution from each sale, so they accumulate profits or losses faster as they move away from the breakeven point in sales c. increased operating leverage increases business risk d. virtually all firms have at least some operating leverage UNIT 6 LABForensic Advances Raise New Questions About Old ConvictionsWhat happened during William Richards first three trials? What was his sentence?In the fourth trial, what did the forensic dentist tell the jury? What does this same dentist feel about his testimony in hindsight?Explain how as technology evolves, forensics experts testimony will evolve as well.Do you think Richards deserves another trial? Why or why not?In Texas, A Living Lab for Studying the DeadDescribe the Forensic Anthropology Center at Texas State University.What have the researchers already discovered about the set of human remains that have been in the trench since February?Why does Ms. Nugent study forensic anthropology?What do the students do at the site? What happens to the bones?Would you be interested in studying in a research center like this one? Why or why not?In Rwandan Mass Graves, There are Few Ways to Identify the DeadWhat elements do forensic anthropologists look for in order to help identify the victims in the mass grave?What about Rwanda makes this work more unique than one might typically expect?