Assume that all​ grade-point averages are to be standardized on a scale between 0 and 5. How many​ grade-point averages must be obtained so that the sample mean is within 0.01 of the population​ mean? Assume that a 99 ​% confidence level is desired. If using the range rule of​thumb,\sigma can be estimated as range over 4 End Fraction equals Start Fraction 5 minus 0 Over 4 end Fraction equals 1.25. does the sample size seem​ practical?

Answers

Answer 1

Collecting data on 83,359 grade-point averages would be a significant undertaking and a 99% confidence level, especially if the data had to be collected in a short amount of time or if there were limited resources available for data collection.

To determine the sample size needed to estimate the population mean within a certain margin of error, we can use the formula:

[tex]n = (Z^2 * sigma^2) / E^2[/tex]

where n is the sample size, Z is the Z-score for the desired confidence level (in this case, 2.576 for a 99% confidence level), sigma is the population standard deviation (in this case, estimated as 1.25 using the range rule of thumb), and E is the desired margin of error (in this case, 0.01).

Plugging in the values, we get:

[tex]n = (2.576^2 * 1.25^2) / 0.01^2 = 83,358.08[/tex]

So we would need a sample size of at least 83,359 to estimate the population mean with a margin of error of 0.01 and a 99% confidence level.

However, this sample size may not be practical depending on the resources available. Collecting data on 83,359 grade-point averages would be a significant undertaking, especially if the data had to be collected in a short amount of time or if there were limited resources available for data collection.

In practice, researchers often use statistical software to calculate sample sizes based on the desired margin of error, confidence level, and population standard deviation. This allows them to determine a more realistic sample size based on the specific context of their study.

In summary, while the formula for determining sample size can provide an estimate of the number of observations needed to estimate the population mean with a certain level of precision, other factors such as the availability of resources must also be considered when determining a practical sample size.

To know more about grade-point averages click here:

brainly.com/question/29193406

#SPJ4


Related Questions

There are 60,094 people under the age of 14 years old

There are 212,468 people age between 15 and 64 years old

There are 42,362 people over the age of 65 years old

What is the Age Dependency Ratio as a decimal rounded to the Thousandths place?

Answers

Answer:

67.466%

Step-by-step explanation:

No. of people aged below 14 years old= 60,094

No. of people aged between 15 and 64 years old= 212,468

No. of people aged above 65 years old= 42,362

Age Dependency Ratio= No. of people aged between 15 and 64 years old

                                          /Total People

                                       = [tex]\frac{212,468}{60,094+212,468+42,362}[/tex] × 100

                                       = [tex]\frac{212,468}{314,924}[/tex] × 100

                                       = 67.466%

∴ the Age Dependency Ratio is 67.466%.

Adrienne earns $98 for working 8 hours. If she earned $453.25, How many hours did she work?

Answers

Answer:

37 hours

Step-by-step explanation:

First, we will find the amount of money that Adrienne makes per hour: 98/8, which equals $12.25.

Now, we can find the number of hours it takes to earn $453.25 by dividing it by $12.25:

$453.25 / $12.25 = 37 hours

Simplify 5c - 8d - 4c + 3d
Simplify 6p - 2w + p + 5w

Answers

Answer:37c − 32d

2:7p+3w

Step-by-step explanation:

Answer:

1. c - 5d

2. 7p + 3w

Step-by-step explanation:

1.)

5c - 8d - 4c + 3d =

5c + -8d +-4c + 3d

Combine like terms:

(5c + -4c) +(-8d + 3d) =

c - 5d

2.)

6p - 2w + p + 5w =

6p + -2w + p + 5w

Combine like terms:

(6p + p) + (-2w + 5w) =

7p + 3w

please help with this question! thank you :))

Answers

Answer:

2x

Step-by-step explanation:

it is x+x or 2x, since if x>=0, the absolute value of x is just x, then we can say that it is x+x without the absolute value symbols. :)

Naomi invested $920 in a account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2310

Answers

Answer:

We can use the continuous compound interest formula:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate (as a decimal), and t is the time (in years). We can rearrange this formula to solve for t:

t = ln(A/P) / r

where ln is the natural logarithm function.

Using the given values, we have:

P = 920

A = 2310

r = 0.047

So,

t = ln(2310/920) / 0.047

t ≈ 18.8 years

Rounding to the nearest year, it would take about 19 years for the value of the account to reach $2310.

Answer:

19 years

Step-by-step explanation:

Write the equation of a line perpendicular to y = x - 5 and passing through the point (-3,9).
1. y = -x + 6
2. y = -x + 9
3. y = -x + 12
4. y = x + 12

Answers

The equation of line perpendicular to y=x-5 passing through (-3,9) is y=-x+6.

What is a perpendicular line?

Two distinct lines intersecting each other at 90 degrees or at a right angle are called perpendicular lines

Equation:

To find the equation of a line perpendicular to y = x - 5, we need to first determine the slope of the original line. The slope of a line in slope-intercept form (y = mx + b) is the coefficient of x, so in this case, the slope of the original line is 1.

Since we want to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope, which is -1.

So, the slope of the perpendicular line is -1, and we also know that it passes through the point (-3,9).

We can use the point-slope form of a line to write the equation of the perpendicular line:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values we know, we get:

y - 9 = -1(x - (-3))

Simplifying this expression, we get:

y - 9 = -x - 3

Adding 9 to both sides, we get:

y = -x + 6

Therefore, the equation of the line perpendicular to y = x - 5 and passing through the point (-3,9) is:

y = -x + 6

So the answer is option 1: y = -x + 6.

To know more about perpendicular line, click here,

https://brainly.com/question/18271653

#SPJ1

Solve the system.
x - 3y - 5z = 7
6y + z = 27
6x + 5y - 6z = 85
Enter your answer as an ordered triple.
([?], [ ], [])
Enter

Answers

Answer:

(-6, 4/3, 7)

Step-by-step explanation:

To solve the system of equations, we can use elimination or substitution. Here, we will use elimination:

First, we can eliminate z by adding the first and third equations:

x - 3y - 5z = 7

6x + 5y - 6z = 85

7x + 2y = 92

Next, we can use the second equation to eliminate z from the second equation:

6y + z = 27

-6z from both sides:

6y = -6z + 27

Divide both sides by 6:

y = -z/6 + 9/2

Now, we can substitute y = -z/6 + 9/2 into the equation 7x + 2y = 92:

7x + 2(-z/6 + 9/2) = 92

7x - z/3 + 9 = 92

7x - z/3 = 83

Multiplying both sides by 3 to eliminate the fraction:

21x - z = 249

We now have two equations:

7x + 2y = 92

21x - z = 249

To eliminate x, we can multiply the first equation by 3 and subtract it from the second equation:

21x - z = 249

- (3 * (7x + 2y = 92))

-----------------------------------------------------------------

-13x - 6z = -215

Solving this equation for z, we get:

-13x - 6z = -215

6z = 13x + 215

z = (13/6)x + 35 + 1/3

Now we can substitute this value of z into one of the equations to solve for y. Let's use the second equation:

6y + z = 27

6y + [(13/6)x + 35 + 1/3] = 27

6y + (13/6)x + 35 + 1/3 - 27 = 0

6y + (13/6)x + 8 + 1/3 = 0

6y + (13/6)x = -25/3

y = (-13/36)x - (25/18)

Finally, we can substitute these values for x, y, and z into one of the original equations to check our work. Let's use the first equation:

x - 3y - 5z = 7

x - 3[(-13/36)x - (25/18)] - 5[(13/6)x + 35 + 1/3] = 7

x + (13/12)x + (25/6) - (65/6)x - 175 - (5/3) = 7

-51x/12 - 215/6 = 7

-17x/4 - 35/2 = 7

-17x/4 = 21/2

x = -6

Substituting this value of x into the expressions we found for y and z, we get:

y = (-13/36)x - (25/18) = (13/6) - (25/18) = 4/3

z = (13/6)x + 35 + 1/3 = -(13/6)*6 + 35 + 1/3 = 7

The sales tax in California is 7.25%. If you go to a store to buy a pair of jeans that has a price of $40, how much will you pay in sales tax

Answers

You will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

What is sales tax?

At the time of sale, a tax known as sales tax is applied to the cost of products or services. The state, county, or city where the transaction occurs determines the tax rate, which is often expressed as a percentage of the purchase price. The vendor is responsible for collecting sales tax and remitting it to the relevant government body. Sales taxes are levied in order to raise money for the government and pay for essential services like infrastructure, healthcare, and education. Because it is based on the quantity of goods or services consumed rather than income or wealth, sales tax is a sort of consumption tax.

Given that, sales tax in California is 7.25%.

Thus,

Sales tax = price of jeans x sales tax rate

Sales tax = $40 x 0.0725

Sales tax = $2.90

Therefore, you will pay $2.90 in sales tax in California for a pair of jeans that costs $40.

Learn more about percentage here:

https://brainly.com/question/18960118

#SPJ1

the two plates of a capacitor hold 2500 μc and –2500 μc of charge, respectively, when the potential difference is 960 v. what is the capacitance?

Answers

2.6 *  10⁻⁶  F  is the capacitance.

What is a capacitor short answer?

A capacitor is a component used in electrical circuits to hold charges. The idea behind how a capacitor functions is that when an earthed conductor is moved close to a conductor, its capacitance increases noticeably.

                                      As a result, a capacitor contains two plates with equal and opposing charges that are spaced apart. Two conductors that are near to one another and are isolated from one another make up a capacitor, a device for storing electrical energy. The parallel-plate capacitor is a straightforward illustration of such a storage device.

We have realtion Q=CV  

where Q is charge ,  C is capacitance and V is voltage.

C=Q/V

C=(2500 *  10⁻⁶)/960

C= 2.6 *  10⁻⁶  F

Learn more about capacitor

brainly.com/question/17176550

#SPJ1

find the smallest number that has1 ,2 ,3 ,4 ,5 and as factors. what is the special name for this number?

Answers

The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.

The smallest number that has 1, 2, 3, 4, 5 as factors is 60. This number is called the LCM (Least Common Multiple) of the given numbers.The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of these numbers. We can find the LCM of more than two numbers by following the below procedure:Firstly, find the LCM of two numbers.

This will be the smallest number that is a multiple of both these numbers. Then, find the LCM of this number and the third number. This will be the smallest number that is a multiple of all the three numbers. Repeat the same process for other numbers until we have found the LCM of all the given numbers.

Here, the given numbers are 1, 2, 3, 4, and 5.LCM of 1 and 2 is 2.LCM of 2 and 3 is 6.LCM of 6 and 4 is 12.LCM of 12 and 5 is 60.

Learn more about Smallest number

brainly.com/question/29570723

#SPJ11

Solve the following linear equation for
x
x.



5
x

2
+
x
=
9
+
3
x
+
10
5x−2+x=9+3x+10

Answers

Solution for the following linear equation is (7)

How many flowers, spaced every 4 in. , are needed to surround a circular garden with a 100-ft radius? use 3. 14

Answers

Answer:the answer would be around 300 or 314

if you have 100ft in a circle and divided the space using the equation it what you get .

Step-by-step explanation:

alice refuses to sit next to either bob or carla. derek refuses to sit next to eric. how many ways are there for the five of them to sit in a row of chairs under these conditions?

Answers

The total number of ways five of them to sit in a row of chairs under the given condition is equal to 152 ways.

Use the principle of inclusion-exclusion to solve this problem.

Let us first consider the case where Alice sits next to Bob or Carla.

Now, treat Alice, Bob, and Carla as a block, which can be arranged in 3! = 6 ways.

Within this block, Alice can sit in two different positions,

And Bob and Carla can sit in the remaining two positions.

There are 6 x 2 = 12 ways for Alice to sit next to Bob or Carla.

Now,

Let us consider the case where Derek sits next to Eric.

Treat Derek and Eric as a block,

which can be arranged in 2! = 2 ways.

Within this block,

Derek can sit in two different positions,

And Eric can sit in the remaining position.

There are 2 x 2 = 4 ways for Derek to sit next to Eric.

However,

Double-counted the case where Alice sits next to Bob or Carla AND Derek sits next to Eric.

Treat Alice, Bob, Carla, Derek, and Eric as two blocks,

which can be arranged in 2! x 3! = 12 ways.

Within each block,

There are 2 ways to arrange the people.

There are 12 x 2 x 2 = 48 ways for both conditions to be satisfied.

Using the principle of inclusion-exclusion,

The total number of ways for the five of them to sit in a row of chairs under these conditions.

Total

= total number of ways - number of ways Alice sits next to Bob or Carla - number of ways Derek sits next to Eric + number of ways both conditions are satisfied

= 5! - 12 - 4 + 48

= 152

Therefore, there are 152 ways for the five of them to sit in a row of chairs under these conditions.

Learn more about ways here

brainly.com/question/30273246

#SPJ4

Alex's porch has a length and width of 12 feet each. He wants to paint the porch with a
water sealant that costs $35 per square foot. However, his wife wants him to change
the length of the porch to 14 feet. What would the difference in cost of applying sealant
be if Alex does extend his porch length?

Answers

Answer: $1820

Step-by-step explanation:

Area = Length*Width

Forst we have to solve for the area.

A = 12 * 12

A = 144 ft^2

Next we have to multiply be the cost per square foot.

144 * 35

= $5040

Solve for the area.

A = 14 * 14

A = 196 ft^2

Multiply by the cost per square foot.

196 * 35

= $6860

Lastly subtract both costs:

6860 - 5040 = 1820

Therefore the difference in cost would be $1820.

Hope this helps :)

if the cost of 2 tables and 3 chairs is rs 3200 and the cost of 10 chairs and 4 tables is the same, what will be the cost of 5 tables and 6 chairs​

Answers

The cost of 5 tables and 6 chairs would be Rs. 1200.

Algebraic problem

Let the cost of one table be x and the cost of one chair be y.

From the given information, we have the following two equations:

2x + 3y = 3200 ... equation (1)

4x + 10y = 3200 ... equation (2)

To solve for x and y, we can multiply equation (1) by 2 and subtract it from equation (2) to eliminate x:

4x + 10y = 3200

(4x + 6y = 6400)

4y = -3200

Solving for y, we get:

y = -800

Substituting y = -800 into equation (1), we get:

2x + 3(-800) = 3200

Simplifying and solving for x, we get:

2x - 2400 = 0

2x = 2400

x = 1200

Therefore, the cost of one table is Rs. 1200, and the cost of one chair is Rs. -800 (which means the cost of one chair is Rs. 800 with a negative sign indicating a decrease from the original cost of Rs. 1200).

To find the cost of 5 tables and 6 chairs, we can simply multiply the cost of one table by 5 and the cost of one chair by 6 and add them:

Cost of 5 tables = 5 * Rs. 1200 = Rs. 6000

Cost of 6 chairs = 6 * Rs. (-800) = Rs. -4800 (or Rs. 4800 with a negative sign indicating a decrease from the original cost of Rs. 800)

Total cost = Rs. 6000 + Rs. (-4800) = Rs. 1200

Therefore, the cost of 5 tables and 6 chairs is Rs. 1200.

More on algebraic problems can be found here: https://brainly.com/question/30042644

#SPJ1

What is the hundredth digit of pi? This would include the 3 in the beginning.

Answers

The hundredth digit is 9.

5 less than a qoutient of a number and 3

Answers

Answer:

The solution to the equation is -7

Step-by-step explanation:

I hate these kinds of Questions but it all comes down to how you mathematically interpret it.

the coc admissions department wants to see how many students would be in favor of using a new program to register for classes. they put a link on their website so that any students that want to try out the program can. the students can then take a survey and say how well they like the new system. this is what method of collecting data was used: group of answer choices convenience census cluster systematic voluntary response simple random sample (srs) stratified

Answers

The method of collecting data that was used in the given scenario is voluntary response.

A voluntary response method of data collection is a research technique that allows participants to decide whether or not they want to be included in the sample.

When participants are allowed to choose whether or not to participate, this is known as self-selection.

This method has a disadvantage in that it could lead to bias in the data because those who respond to the survey may not represent the entire population of interest.

In the given scenario, the COC admissions department put a link on their website so that any students that want to try out the program can. The students can then take a survey and say how well they like the new system. This means that the method of collecting data that was used is voluntary response.

Know more about voluntary response here:

https://brainly.com/question/13298621

#SPJ11

Obtain the volume of rectangular boxes with a, 2b and 3c as length, breadth and height respectively​

Answers

Step-by-step explanation:

The volume of a rectangular box is given by the formula:

Volume = length x breadth x height

In this case, the length is a, the breadth is 2b, and the height is 3c. So, the volume can be calculated as:

Volume = a x 2b x 3c

= 6abc

Therefore, the volume of the rectangular box with a, 2b and 3c as length, breadth and height respectively is 6abc.

How do you find the surface area for this? Anything helps! (will give brainliest)

Answers

Answer:

95.2 square yards

Step-by-step explanation:

8(3) + 2(1/2)(3)(7.2) + 2(1/2)(8)(6.2)

= 24 + 21.6 + 49.6 = 95.2 square yards

Riley has 200 stamps.

35% are from Russia.

20% are from Australia.

10% are from Asia.

The rest are from North America. How many stamps are from North America?_

Riley has 200 stamps.

35% are from Russia.

20% are from Australia.

10% are from Asia.

The rest are from North America. How many stamps are from North America?

Answers

Answer:

70 stamps are from North America

Step-by-step explanation:

All I did was add the percentages together

35+20+10= 65

I then took 65% of 200 to get 70.

Please help to complete this chart pleaseeeeeee

Answers

The completed chart for a one-time investment made in the amount of $9,200 is attached below.

How to calculate interest rate and compounding periods?

For Annually compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.06)¹⁵

A = $9,200 (1.06)¹⁵

A = $22,048.34

For Semi-Annually compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.03)³⁰

A = $9,200 (1.03)³⁰

A = $21,214.29

For Quarterly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.015)⁶⁰

A = $9,200 (1.015)⁶⁰

A = $20,947.34

For Monthly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.005)¹⁸⁰

A = $9,200 (1.005)¹⁸⁰

A = $20,812.09

For Weekly compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.0012)⁷⁸⁰

A = $9,200 (1.0012)⁷⁸⁰

A = $20,756.54

For Daily compounded interest:

A = P (1 + i)ⁿ

A = $9,200 (1 + 0.0002)⁵⁴⁷⁵

A = $9,200 (1.0002)⁵⁴⁷⁵

A = $20,726.55

Learn more on compound interest here: https://brainly.com/question/24924853

#SPJ1

Image transcribed:

1. Fill in the chart for the following investment.

A one-time investment is made in the amount of $9,200 for 15 years at an APR of 6%.

Compound Interest: A = P (1 + i)", where A is the final amount, P is the principal invested, i is the interest rate per compounding period, and n is the number of compounding periods.

Calculator A circle has a radius of 21 millimeters. What is the length of the arc intercepted by a central angle that measures 80°. o 14.66 mm o 307.88mm o 98 mm o 29.32 mm 1 2 3 4 5 6 7



Please hurry and don't answer if you dont know my answers are l: A.14.66mm B.98mm
C.307.8mm. D.29.32mm​

Answers

Answer:

arc length ≈ 29.32 mm

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{80}{360}[/tex]

     = 2π × 21 × [tex]\frac{8}{36}[/tex]

    = 42π × [tex]\frac{2}{9}[/tex]

   = [tex]\frac{42\pi (2)}{9}[/tex]

   ≈ 29.32 mm ( to the nearest hundredth )

someone please help I'll give brain list (I'm failing)​

Answers

Answer:

1) 3rd one down   1  7/12 ( the one you've selected well doneee)

2)pretty sure its also the 3rd one down ( don't come for me if its wrong)

Step-by-step explanation:

4 1/6 = 25/6

5  3/4= 23/4

25/6   x4=    100/24

23/4  x 6 = 138/24

138/24  - 100/24  = 38/24

divide by 2:

19/12= 1   7/12

Find the square of: 5i√3

Answers

Answer: We have:

(5i√3)² = (5i)²(√3)² = -25(3) = -75

Therefore, the square of 5i√3 is -75.

Step-by-step explanation:

The square of the complex number of 5i√3 is 75.

What is a complex number?

A complex number is the sum of a real number and an imaginary number.

To find the square of the complex number, 5i√3, we use the following Steps below

Step1: Square the expression

(5i√3)²

Step 2: use the law of surd to seperate each of the terms in the expression

[(5i)²(√3)²]

Note: In complex number notation,

i×i = 1

Therefore,

25(3)75

Hence, square of 5i√3 is 75

Learn more about complex number here: https://brainly.com/question/28007375

#SPJ1

If the vertex of the function is at the. 0, 0. 5 what is the recommended amount of mulch for a flower bed with a radius of 20 feet round to the nearest 10th if necessary

Answers

the recommended amount of mulch for the flower bed with a radius of 20 feet and a desired depth of 0.5 feet is approximately 628.3 cubic feet.

The given information about the vertex of the function does not appear to be relevant to the question about mulch for a flower bed. However, we can still solve the problem using the given radius of the flower bed.

The formula to find the recommended amount of mulch for a circular flower bed is:

Mulch = π * r^2 * d

Where r is the radius of the flower bed and d is the desired depth of the mulch.

Assuming a desired depth of 0.5 feet, we can plug in the given radius of 20 feet to the formula:

Mulch = π * (20 feet)^2 * 0.5 feet

Mulch = π * 400 square feet * 0.5 feet

Mulch = 200π cubic feet

To find the approximate value in decimal form, we can use the approximation π ≈ 3.14:

Mulch ≈ 200 * 3.14

Mulch ≈ 628 cubic feet

Rounding to the nearest tenth, we get:

Mulch ≈ 628.3 cubic feet

Therefore, the recommended amount of mulch for the flower bed with a radius of 20 feet and a desired depth of 0.5 feet is approximately 628.3 cubic feet.

To know more about amount of mulch click here:

brainly.com/question/2049018

#SPJ4

For the following figure, match the correct corresponding statement:

Column A
1.

:


2.

:

3.

:

4.

AB ≅:

AB ≅
5.

GF ≅:

GF ≅
6.

EG ≅:

EG ≅
7.

▼BCA ≅:

▼BCA ≅
8.

▼GEF ≅:

▼GEF ≅

Column B
a. EF
b. c. AC
d. e. CB
f. ▼CAB
g. h. ▼FGE

Answers

Although the statements are not clearly written, the proof that ΔABC ≅EFG is:


AC = EG - Given

BA = FE - Given

BC = FG - Given

∠ABC = ∠EFG - Given

∠BAC = ∠FEG - Given

∠BCA = ∠FGE - Given

Thus, ΔABC ≅EFG  on the bases of the S-S-S Angle postulate or the A-A-A congruence postulate.

What is the definition of the above postulates?

The S-S-S Angle Postulate and the A-A-A Congruence Postulate are both mathematical principles used to prove that two triangles are congruent (having the same size and shape).

The S-S-S Angle Postulate states that if two triangles have three sides that are congruent to the corresponding sides of another triangle, then the triangles are congruent.

The A-A-A Congruence Postulate, on the other hand, states that if two triangles have three angles that are congruent to the corresponding angles of another triangle, then the triangles are congruent.

Both of these postulates are fundamental to the study of geometry and are used to prove a wide range of geometric theorems and relationships.

Learn more about proof  at:

https://brainly.com/question/28613847

#SPJ1

The area of a rectangle is given by the function A(x) = 2x3 + 6x2 + 5x + 15. If the length is defined by x + 3, what is the width of the rectangle?

2x3 + 6x2 + 4x + 12
2x3 + 6x2 + 6x + 18
2x2 + 6x + 5
2x2 + 5

Answers

The width of the rectangle is given by the expression 2x² + 5. Then the correct option is D.

Given that:

Area, A(x) = 2x³ + 6x² + 5x + 15

Length, L = x + 3

The formula for the area of a rectangle is:

A = length x width

A(x) = (x + 3) · W

A(x) / (x + 3) = W

W = (2x³ + 6x² + 5x + 15) / (x + 3)

W = [2x²(x + 3) + 5x(x + 3)] / (x + 3)

W = [(2x² + 5)(x + 3)] / (x + 3)

W = 2x² + 5

Therefore, the width of the rectangle is given by the expression 2x² + 5. Then the correct option is D.

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

Write an equation that passes through (-3,2) and (-2,5) in slope intercept form

Answers

Answer:

y = 3x + 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-2}{-2-(-3)}[/tex] = [tex]\frac{3}{-2+3}[/tex] = [tex]\frac{3}{1}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 5 )

5 = 3(- 2) + c = - 6 + c ( add 6 to both sides )

11 = c

y = 3x + 11 ← equation of line

During a thunderstorm at a sports event, a detector goes off to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table.


Lightning detector activates Lightning detector does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%


What is the ratio of false positives to false negatives in this scenario? Round your answer to one decimal place.
0.1
1.5
2.3
3.5

Answers

The ratio of false positives to false negatives in this scenario is 3.5.

3.5 is the correct answer. False positives are lightning detector activations when there is no lightning in the area. False negatives are lightning detector not activations when there is lightning in the area. To calculate the ratio of false positives to false negatives, divide the false positives (7%) by the false negatives (2%). 7/2 = 3.5. Therefore, the ratio of false positives to false negatives in this scenario is 3.5.

The ratio of false positives to false negatives in this scenario is 3.5.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ1

Answer:

i took the test :)

Step-by-step explanation:

3.5

Other Questions
Solve the fill in the black pleaseeeeee I really need help A standard size golf ball has a diameter of 1. 680 inches. The material used to make the golf balls weighs 0. 6523 ounces per cubic inch. What is the weight, to the nearest hundredth of an ounce of one golf ball the existence of high exit barriers such as ownership of specialized assets (e.g., large aircraft) in the airline industry indicates that Please Answer!!After t years, the rate of depreciation of a car that costs $20,000 is 25%. What is thevalue of the car 2 years after it was purchased? What were the four freedoms that fdr used to redefine how americans would think about the world? A pyramid and a coke have the same base, area, slant height, and surface area. If the perimeter of the base of the pyramid is 314 centimeters, what is the radius of the cone how do i delete a question Gold Nest Company of Guandong, China, is a family-owned enterprise that makes birdcages for the South China market. The company sells its birdcages through an extensive network of street vendors who receive commissions on their sales. The company uses a job-order costing system in which overhead is applied to jobs on the basis of direct labor cost. Its predetermined overhead rate is based on a cost formula that estimated $85,500 of manufacturing overhead for an estimated activity level of $45,000 direct labor dollars. At the beginning of the year, the inventory balances were as follows: Raw materials $ 10,400 Work in process $ 4,800 Finished goods $ 8,100 During the year, the following transactions were completed: Raw materials purchased on account, $162,000. Raw materials used in production, $141,000 (materials costing $128,000 were charged directly to jobs; the remaining materials were indirect). Costs for employee services were incurred as follows: Direct labor $ 159,000 Indirect labor $ 225,000 Sales commissions $ 28,000 Administrative salaries $ 50,000 Rent for the year was $18,600 ($13,100 of this amount related to factory operations, and the remainder related to selling and administrative activities). Utility costs incurred in the factory, $20,000. Advertising costs incurred, $15,000. Depreciation recorded on equipment, $21,000. ($17,000 of this amount related to equipment used in factory operations; the remaining $4,000 related to equipment used in selling and administrative activities.) Manufacturing overhead cost was applied to jobs, $ ? . Goods that had cost $229,000 to manufacture according to their job cost sheets were completed. Sales for the year (all paid in cash) totaled $512,000. The total cost to manufacture these goods according to their job cost sheets was $217,000. Required: 1. Prepare journal entries to record the transactions for the year. 2. Prepare T-accounts for each inventory account, Manufacturing Overhead, and Cost of Goods Sold. Post relevant data from your j How did the Enlightenment philosophies, such as the separation of powers, influence the political revolutions of the eighteenth century?The ideas became the focus of debates between monarchs and parliaments.The ideas were used to create a series of slogans and mottos to rally the troops.The ideas were used by monarchs to argue against the changes made by revolutionary leaders.The ideas became incorporated into constitutional documents produced during the revolutions. during a football game,the ball is placed 20 yards 2 feet from the goal line.How many feet from the goal line is the football. All exponential functions can be written in many forms. Write the function F(t)=9100(1.15)^t in the form f(t)=ae^ktRound all coefficients to four decimal places. Find the volume to liters of each of the following A. 11. 2L H2 we know a good onboarding program should be about a year, more or less depending on the position. but when should a manager make sure to check in with the new hire? (check the one that isn't correct.) 1. In a five card poker hand what is the probability of being dealt exactly one ace and no picture cards? 2. The digits, 3,4,5,6 and 7 are randomly arranged to form q three digit number. Find the probability that the number is even and greater than 7003. If you are dealt 3 cards from a shuffled deck of 52 cards find the probability of getting one queen and two kings If a company understates its ending balance of inventory in year 1 and states its inventory correctly in year 2, which one of the following is true?a. Net income is overstated in year 1.b. Cost of goods sold is understand in year 2.c. Net income is understated in year 2.d. Retained earnings is understood in year 2. May provide a more accurate assessment of an applicant's job-related personality traits than other types of interviews Unstructured interview 2. Should be avoided in favor of other types of interviews Click to select 3. Asks candidates questions that focus on hypothetical situations (Click to select) interview 4 Each applicant's conversation with the interviewer is different can feel more like an ordinary, informal conversation than a job Click to select 5. Attempts to learn how employees have dealt with workplace situations in the past Click to select) 6. Has been found to be poor for employee morale once an applicant who has been through this type of interview accepts the job T ack to select) < Prev 21 of 36 Next > 4. if a 100.0 g object needs 1145 joule to increase temperature by 10.0 what's it's specific heat capacity select all that apply zion company sells merchandise on credit to brc, inc. in the amount of $1,200. the entry to record this sale would include a: (check all that apply.) multiple select question. credit to sales. debit to cash. debit to accounts receivable. debit to sales. credit to accounts receivable. credit to cash. samir wants to ensure a high level of coordination and communication among managers who have different functions. what kind of team might be effective at implementing his goal? read the excerpt from Act 1,scene 7 of Macbeth (40) and (45) what strategy does lady Macbeth use to try to convince macbeth to carry out her plan?Lady Macbeth tries to convince Macbeth to carry out their plan by saying that_____?