A pair of standard dice are rolled. Find the
probability of rolling a sum of 3 with these dice.

Answers

Answer 1
There are 36 possible outcomes when rolling two dice, since each die has 6 possible outcomes.

To find the probability of rolling a sum of 3, we need to count the number of ways we can roll a sum of 3 and divide by the total number of possible outcomes.

The only ways to get a sum of 3 are by rolling a 1 on the first die and a 2 on the second die, or vice versa. There is only one way to roll each of these outcomes. Therefore, there are 2 ways to roll a sum of 3.

So the probability of rolling a sum of 3 is:

Probability of rolling a sum of 3 = Number of ways to roll a sum of 3 / Total number of possible outcomes
Probability of rolling a sum of 3 = 2 / 36
Probability of rolling a sum of 3 = 1 / 18

Therefore, the probability of rolling a sum of 3 with a pair of standard dice is 1/18 or approximately 0.056.

Related Questions

If angle a is 125 degrees, what is angle h

Answers

62.5 since 125/2. I’m assuming it’s a central angle

5 years ago i was 5 times older then my son. in 8 years time i will be 3 times older then my son. how old am i today?

Answers

Answer:

70 , 18

Step-by-step explanation:

Keeping x as Father and y as son;


5 years ago Person X was 5 times older than Person y , so the equation will be:

x - 5= 5(y-5)

x = 5y - 20

simularily after 8 years , x will be 3 times older than y , so

x + 8 = 3(y + 8.)

I will now try to find y by equating value of x into y:

5y - 20 + 8 = 3y + 24

5y - 3y = 24 + 20 - 8

2y = 44 - 8 = 36

y = 18

so x will be =  5 (18) - 20.

x = 90-20 = 70 years.

therefore father is 70 years , and son is 18 years old.


3. Write the following using exponential notation:
(5.
5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7)

Answers

Answer:

5.5.5.5.5.5.5.5.5 in exponential notation is 5^9

7.7.7.7.7.7.7.7.7.7.7.7.7.7 in exponential notation is 7^13

Therefore, (5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7) in exponential notation is:

5^9 * 7^13

A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8 oz cup. If the standard deviation of the amount of coffee dispensed is 0.2 oz, and the amount is normally distributed, find the percent of times the machine will dispense from 7.5 oz to 7.9 oz.

Answers

The percentage of time that the machine will dispense from 7. 5 oz to 7. 9 oz is 62.47% of the time.

How to find the percentage ?

Find the Z-scores for both 7. 5 oz and 7. 9 oz :

Z = ( X - μ ) / σ

For 7. 5 oz :

Z = ( 7.5 - 7.6 ) / 0.2

Z = -0. 1 / 0. 2

Z = -0. 5

For 7.9 oz:

Z =  (7. 9 - 7.6 ) / 0.2

Z = 0. 3 / 0. 2

Z = 1. 5

Using the z - values from the table, the percentage of time is:

0.9332 - 0.3085 = 0.6247

= 62. 47 %

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Plssss help me quickly

Answers

Answer:

36

Step-by-step explanation:

First you calculate the area of the rectangle. then you substract the area of the triangle.

The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48

The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12

Area of the figure = 48-12=36

The Soule's live on a corner lot. Often, children cut across
their lot to save walking distance. The diagram to the right
represents the corner lot. The children's path is
represented by a dashed line. Approximate the walking
distance that is saved by cutting across their property
instead of walking around the lot.
...
The walking distance that is saved by cutting across the lot is
feet.
X
15 feet
x+3

Answers

Answer:

The walking distance that is saved by cutting across the lot is approximately 18 feet.

Someone help i really need help with this

Answers

The cost of each admission tickets is 37.5 dollars.

How to find the cost in dollars of each admission ticket?

Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.

Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:

Therefore,

175 = 4i + 25

subtract 25 from both sides of the equation

175 = 4i + 25

175 - 25 = 4i + 25 - 25

150 = 4i

divide both sides by 4

i  = 150 / 4

i = 37.5 dollars

Therefore,

cost of each admission ticket = 37.5 dollars

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f(x)=4x-3
g(x)-3x+3
find f(9)/g(9)

Answers

Hello, hope this helps, goodluck!

The table gives the average per capita income, d
, in a region of the country as a function of the percent unemployed, u
.Which equation represents this data algebraically?

Answers

Answer:

d=23,000-500u

Step-by-step explanation:

im doing the test

A theme park has a ride that is located in a cylinder with a height of 11 yards.The ride goes around the outside of the cylinder, which has a circumference of 513.88 yards. What is the surface area of the cylinder? Estimate to the nearest hundredth, using 3.14. Apply the formula for surface area of a cylinder SA=2B+Ph

Answers

Answer:

To calculate the surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C/2π = 513.88/(2 x 3.14) = 81.91 yards

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius. We can use this formula to find the area of one of the circular bases:

B = πr^2 = 3.14 x 81.91^2 = 21,237.93 square yards

The formula for the lateral surface area of a cylinder is:

P x h

where P is the perimeter of the base and h is the height. We can use the formula for the circumference to find the perimeter of the base:

P = C = 513.88 yards

Now we can calculate the lateral surface area:

L = P x h = 513.88 x 11 = 5,652.68 square yards

Finally, we can use the formula for the surface area of a cylinder:

SA = 2B + L = 2(21,237.93) + 5,652.68 = 48,128.54 square yards

Therefore, the surface area of the cylinder is approximately 48,128.54 square yards when rounded to the nearest hundredth.

True or False

This is a Quadratic Equation y=5x+2

Answers

The equation is not a quadratic equation. Statement is false.

What is quadratic equation ?

A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.

According to question:

This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

Thus, given equation is not a quadratic equation. Statement is false.

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A plane is flying at a speed of 320 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.

Answers

The speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

We are given the speed of a plane on a bearing of N [tex]75^\circ[/tex] E and its ground speed. We have to find its speed in miles per hour and the direction angle in degrees. We will apply the formula of projection for both the x-axis and y-axis.

As we know, projection, R = V + W

Now, the x-axis projection will be R cos[tex]15^\circ[/tex] according to the angle given to us. Therefore, R cos [tex]15^\circ[/tex] = V cos[tex]30^\circ[/tex] + [tex]W_{x}[/tex]

The y-axis projection,

R sin [tex]15^\circ[/tex] = V sin [tex]30^\circ[/tex] + [tex]W_{y}[/tex]

From here, now we will find [tex]W_{x}{[/tex] and [tex]W_{y}[/tex]

[tex]W_{x}{[/tex] = 330 cos[tex]15^\circ[/tex] - 390 cos[tex]30^\circ[/tex]

[tex]W_{x}[/tex] = -19 miles/hour

[tex]W_{y}[/tex] = 330 sin[tex]15^\circ[/tex] - 390 sin[tex]30^\circ[/tex]

[tex]W_{y}{[/tex] = -109.6 miles per hour

Now, W = [tex]\sqrt{(W_{x})^{2} + (W_{y})^{2{}}[/tex]

W = [tex]\sqrt{(-19.0)^{2} + (-109.6})^{2{}}[/tex]

W = 111.2 miles/hour

Now, we will find the angle with the help of tan θ.

tan θ = [tex]\frac{W_{y}}{W_{x}}[/tex]

tan θ = [tex]\frac{-109.6}{-19.0}[/tex]

θ =  [tex]tan ^{-1} (\frac{109.6}{19.0})[/tex]

θ = 260.[tex]2^\circ[/tex]

Therefore, the speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.

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helpppp helppppp helppppp

Answers

Answer:

No, i do not believe i have learned this yet so good luck bestiee

Suppose that the length of the three sides of a right triangle are consecutive whole numbers. What is the length of the longest leg?

Answers

The length of the longest leg in the right triangle is 5 units

What is the length of the longest leg?

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

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The Celluloid Collar Corporation has $120,000 in tax loss carryforwards. The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of _________ for Celluloid Collar Corporation’s carryforward alone.

Group of answer choices

$18,000

$25,200

$44,100

$20,000

Answers

The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of $25,200  for Celluloid Collar Corporation’s carryforward alone.

What is the non-discounted  sum?

The value of Celluloid Collar Corporation's tax loss when it is said to be carryforward to Bowstring Shirt Company will be be calculated  using the steps below

Value = Tax Loss Carryforward x Tax Rate

Value = $120,000 x 21%

        = $25,200

Therefore, Bowstring Shirt Company have to pay $25,200 for Celluloid Collar Corporation's tax loss to  be carryforward.

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What is the measure of Zx?
Angles are not necessarily drawn to scale.
H
A
45
63
I
K

Answers

Applying the triangle sum theorem, the measure of angle x is calculated as: m<x = 72 degrees.

What is the Triangle Sum Theorem?

In a triangle, when all of its interior angles are added together, the triangle sum theorem states that we will get a sum of 180 degrees.

Therefore, we have:

m<AHI = 63 degrees [based on the corresponding angles theorem]

Considering triangle AHI, applying the triangle sum theorem, we will have the following:

m<x + m<AHI + m<A = 180°

Substitute:

m<x + 63 + 45 = 180°

m<x + 108 = 180°

m<x = 180 - 108 [subtraction property of equality]

m<x = 72 degrees.

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What are the x-intercepts of the function f(x)= 4x^2-36 over x-9?

Answers

Therefore , the solution of the given problem of function comes out to be  f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

Describe function.

On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.

Here,

Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.

The function in this instance is f(x) = (4x² - 36)/(x - 9)

=> 4x² - 36 = 0

To make the equation simpler, we can factor out a 4:

=> 4(x² - 9) = 0

We can factor further based on the difference of squares we now have:

=> 4(x + 3)(x - 3) = 0

We may determine the x-values where the function crosses the x-axis by setting each element to zero:

=> x + 3 = 0 or x - 3 = 0

To find x, solve for:

=> x = -3 or x = 3

The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

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please help me quick! here is screenshot algebra

Answers

The function that is even is f(x) = 6x² - 8.

option C.

What is an even function?

An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.

The function that is even is calculated as follows;

f(x) = 5x² - x

f(-x) = 5(-x)² - (-x)

f(-x) = 5x² + x

f(x) ≠ f(-x)

f(x) = 3x³ + x

f(-x) = 3(-x)³ + (-x)

f(-x) = -3x³ - x

f(x) ≠ f(-x)

f(x) = 6x² - 8

f(-x) = 6(-x)² - 8

f(-x) = 6x² - 8

so f(x) = f(-x), this function is even.

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A political pollster wants to know what proportion of voters are planning to
vote for the incumbent candidate in an upcoming election. A poll of 150
randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent
candidate.
Based on this sample, which of the following is a 90% confidence interval
for the proportion of all voters who plan to vote for the incumbent
candidate?
Choose 1 answer:
780.067
78±0.080
0.520.067

Answers

The confidence interval is 0.52±0.067.(option c)

What is confidence interval?

In statistics,  confidence interval means that the probability in which a population parameter will fall between a set of values for a certain proportion of times.

A political pollster wants to know what proportion of voters are planning to

vote for the incumbent candidate in an upcoming election. A poll of 150

randomly selected voters is taken from the more than 2,000 voters in the

population, and 78 of those selected plan to vote for the incumbent

candidate.

The formula for confidence interval(CI) is given by:

                      CI=  p ± z √{p(1-p)/n} ----------------(1)

Here from the given data p= 78/150= 0.52

                                          n= 150

For 90% confidence interval the value of z= 1.645.

Putting all the values in equation (1) we get,

                         CI= 0.52± 1.645√{(0.52×0.48)/150}

                             = 0.52±1.645×0.04

                             = 0.52±0.067

Hence, the confidence interval is 0.52±0.067.

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Find the value of m + n + 22 if m is 34 and n is 47.

Answers

the answer is 103!!!

PLEASE HELP ME QUICK!!!!

Answers

Answer:

B. $7.50

Step-by-step explanation:

We know profit or P-----P(n) where n is the quantity/number of the item) is the difference of the revenue-----R(n)-----and the cost-----C(n)

P(n) = R(n) - C(n)

Revenue is

the product of price (p) of the item and, number/quantity (n) of the item:

R(n) = pn

Cost is a combination of

fixed costs (represented by a constant (c), as the business or Indvidual making a profit must pay a certain cost, even if they don't make any of their items) and, variable costs (this costs changes depending on the number/quantity of the item and is the product of the marginal cost (m) and the number/quantity (n) of the item)

The cost function resembles a linear equation:

C(n) = mn + c

Since we're shown that P = 7.5n - (2.25n + 15), we know that R(n) must be R(n) = 7.5n and C(n) must be C(n) = 2.25n + 15

Thus, we know she charges $7.5 per necklace sold.

PLEASE HELP ME!

LaNiyah uses 2 eggs to make brownies, 3 eggs to make a cake, and 6 eggs to make a soufflé. In all, she has one gross of eggs (that’s 144 eggs). If she only makes brownies and soufflés and she uses all the eggs, write an equation to model the eggs used.

Answers

An equation that models the eggs used by LaNiyah is 2b + 6s = 144.

What is an equation?

An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.

Equations contain the equal symbol (=), unlike mathematical expressions that combine variables with numbers, and constants using mathematical operands only.

The number of eggs used to make brownies per unit = 2

The number of eggs used to make cakes per unit = 3

The number of eggs used to make soufflés per unit = 6

The total number of eggs used = 144

Let the total number of brownies made = b

Let the total number of soufflés made = s

Equation:

2b + 6s = 144

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Beth pulls a slinky a distance of 24 inches from its equilibrium position and then releases it. The time for one oscillation is 2 seconds. Step 2 of 2 : Find the function in terms of t for the displacement of the slinky. Assume that the slinky is at its maximum displacement at t=0 . Also assume that the function includes no horizontal or vertical shifts.

Answers

The final function for slinky displacement is: 24 sin(t/2 - /2) d(t). This offers the displacement in inches as a function of time in seconds.

How to Solve the Problem?

A sinusoidal function of the form: can be used to describe the slinky's displacement.

A sin(t + ) = d(t).

where A is the greatest displacement, is the angular frequency (2 divided by the period), and is the phase angle (starting phase).

We know the slinky's greatest displacement (amplitude) occurs at t=0, thus we have:

24 inches = d(0) = A sin()

We also know that the period is T=2 seconds because the time for one oscillation (i.e., one complete cycle) is 2 seconds. As a result, the angular frequency is:

ω = 2π / T = π radians/second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position at t=T/4=0.5 seconds. At this time, the sine function's argument is:

= 2 / T = radians per second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position (zero displacement) at t=T/4=0.5 seconds. At this time, the sine function's argument is:

ωt + φ = π/2

When we substitute the known values, we get:

π/2 + φ = 0.5π

φ = -π/2

As a result, the slinky's displacement function is:

A sin(t/2 - /2) = d(t).

We may utilize the information that the amplitude is 24 inches to calculate A:

A = |24| = 24

As a result, the final function for slinky displacement is:

24 sin(t/2 - /2) d(t)

This offers the displacement in inches as a function of time in seconds.

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S=4lw +2wh s=92 l=9 w=2

Answers

Answer:

h=5

Step-by-step explanation:

Substituting in 92 for s,
92=4lw+2wh
Substituting in 9 for l,
92=4(9)(w)+2wh

Substituting 2 for w,

92=4(9)(2)+2(2)(h)

Simplifying by multiplying terms

92=72+4h

Subtract 72 on both sides

20=4h

Divide by 4 on both sides

5=h

Find the perimeter of each figure

Answers

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

What is a hexagon?

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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There is a straight road between town 4 and town B of length 130 km. Maxi travels from town 4 to town B. Pippa travels from town B to town A. Both travel at a constant speed of 40 km/h. Maxi leaves 30 minutes before Pippa. Work out how far from town A they will be when they pass each other​

Answers

The distance from town A that they will be,  when they will pass each other is  44 4/9 .

How can the distance be calculated?

It should be noted that time traveled in each segment is constant, which implies that in this case the average speed can be regarded as the simple mean of speeds. An in the case whereby the distance traveled in each segment is constant, average speed can be described to be the reciprocal of simple mean .

This can be expressed mathematically as

Average speed = Reciprocal [ 1/40 & 1/50].

Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of [(5+4)/400]

= 44 4/9 .

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PLEASE HURRY


Let u = - 2i + 5j v = 6i - j and w oplus=81 Find 3u - (5v - w)

Answers

Answer: ⬇️

Step-by-step explanation:

Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).

what is the mean absolute deviation of 8,2,7,8,6,10,2,1,10,6

Answers

Answer:

The mean absolute deviation of 8,2,7,8,6,10,2,1,10,6 is 2.24.

To calculate the mean absolute deviation, we first need to find the mean of the data set. The mean is the sum of all the values in the data set divided by the number of values. In this case, the mean is 7.

Once we have the mean, we can find the mean absolute deviation by finding the absolute value of the difference between each value in the data set and the mean. For example, the absolute value of the difference between 8 and 7 is 1. We then add up all of the absolute values and divide by the number of values in the data set. In this case, the mean absolute deviation is 2.24.

Here is the formula for the mean absolute deviation:

```

MAD = (|x1 - μ| + |x2 - μ| + ... + |xn - μ|) / n

```

Where:

* MAD is the mean absolute deviation

* x1, x2, ..., xn are the values in the data set

* μ is the mean of the data set

* n is the number of values in the data set

Step-by-step explanation:

Can anyone help me??

Answers

1. The coordinates of the vertices of the preimage in the first column of the table are; (2, 2), (-1, 2) (-1, 1) (-2, 1) (-2, -2) (1, -2) (1, -1) (2, -1).

2. The scale factor for the dilation is 3

3. The coordinates for the image are,  (6,6) (-3, 6) (-3, 3) (-6, 3)(-6, -6) (3, -6) (3, -3)(6, -3)

4. The sketch has been attached below;

5. The dilation multiplies the length of line segments by the scale factor.

6. The dilation did not affect the angle measures. The angles in the image are the same as the angles in the preimage.

How to calculate the scale factor of the image?

To calculate the scale factor for the dilation, we look at what has been provided (x, y) → (3x, 3y)

x =1 x2 = 3

1 multiplied by what will give us 3

1×? = 3

1/1 = 3/1 = 3

If we multiply 3 to every vertices of the preimage, we will find the coordinated of the image.

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The diagonal of a square is 32 cm. What is the length of one side of the square rounded to the nearest tenth?

Answers

The length of the square with a diagonal of 32 cm is 22.6 cm.

What is a square?

A square is a plane shape with all sides and angles equal.

To calculate the length of the square from its diagonal, we use Pythagoras formula

Formula:

d² = l²+l².................... Equation 1

Where:

d = Diagonal of the squarel = length of the square

From the question,

Given:

d = 32 cm

Substitute these values into equation 1 and solve for l

32² = l²+l²1024 = 2l²l² = 1024/2l² = 512l = √512l = 22.6 cm

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A zebra crossing has alternating white and black stripes, each 50 cm wide. The first stripe is white and the last one is white. The zebra crossing in front of our school has 8 white stripes. How wide is the road? A) A 7m 7,5m 8m 8m 0 8,5m E 9m Let the function f be defined byf(x) = x + 28. If f(3y) = 2f(y), what is the one possiblevalue of y?A) -1B) 1C) 2D) -3 During a Solar eclipse, the ___________is blocking the light from the __________ so a shadow appears on the ___________. During a lunar eclipse, the _________is blocking the light from the ________so a shadow appears on the _________. Lunar eclipses are more able to be seen because the Earth is __________ than the ________. When a solar eclipse occurs, do not look directly at the sun because the light will harm you. There is no fill in the blank. All you have to do is type OK. ________ simplify (5^4)^2. 5^6. 5^8. 25^6. 25^8 what are the answers to these questions? Let a be a number. Find the n-vector b for which,bc =p/(a).This means that the derivative of the polynomial at a given point is a linear functionof its coefficients. MODELING REAL LIFE About 5.2% of a population contracted the flu last year. A test used to diagnose the flu was 92% accurate for people who had the flu and 85% accurate for people who did not have it. Find and interpret the ratio of true positives to false positives. Milliken uses a digitally controlled dyer for placing intricate and integrated patterns on manufactured carpet squares for home and commercial use. It is purchased for $425,000. It is expected to last 8 years and has a salvage value of $28,500. Increased before tax cash flow due to this dyer is $95,000 per year. Milliken's tax rate is 25%, and the after-tax MARR is 12%. Develop tables using a spreadsheet to determine the ATCF for each year and the after-tax PW, AW, IRR, and ERR after 8 years. Use straight-line depreciation (no half-year convention). Use MACRS-GDS and state the appropriate property class. Use double declining balance depreciation (no half-year convention, no switching) why is iron widely extracted in the industries Find x in the equation. 2 times x plus one fourth equals one fourth times x plus 2HELP PLEASE!I WILL MAKE YOU GENIUS! A large department store found that it averages 362 customers per hour. Assume that the standard deviation is 29.6 and a random sample of 40 hours was used to determine the average. Which statements about this situation are true? How could you prepare the following compound using a starting material that contains no more than three carbons? CH3CH2CHCHCH, with an NH2 group attached to the third (from left to right) carbon, a CH3 group attached to the fourth carbon, and an oxygen atom double-bonded to the fifth carbon Describe how American unity was promoted and what factors threatened todivide the country. Factors for unity1. Factors to divide 1. A particle moves along the x-axis so that its position at time t>0 is given by X(t) = (t^2 - 9)/(3t^2 + 8)A) show that the velocity of the particle at time this given by v(t) = 70t/(3t^2 + 8)^2B) is the particle moving toward the origin or away from the originator time t = 2? Give a reason for your answer. C) The acceleration of the particle is given by (t). Write an expression for (t), and find the value of (2). D) What position does the particle approach as t approaches infinity? Manuela spins a spinner with four equal sections, labeled A, B, C, and D, twice. If letter B is spun at least once, she wins. Otherwise, Gabriela wins. Which shows the winning sample space for Manuela? An organism that exhibits a head with sensory equipment and a brain probably also ________. Group of answer choices is segmented is bilaterally symmetrical is diploblastic has a coelom toMrs. James, a sixth grade teacher, recorded how many minuteseach student reported reading over winter break.Time spent reading (min.)0H200.What was the upper quartile of the time spent reading?minutesSubmit100H300.400+500 suppose a large warehouse has 20% of the items (fast items) contributing to 80% of the movement in and out, and the other 80% of the items (slow items) contributing to the remaining 20% of the movement. which storage policy would you recommend? (check all answers) group of answer choices class-based storage policy for fast and random policy storage for slow dedicated storage policy for fast and slow class-based storage policy for fast and slow random storage policy for fast and random policy storage for slow dedicated storage policy for fast and random policy storage for slow Choose the correct description for each phase of mitosis.Label A The point (7,8) in the coordinate plane represents a ratio. adela claims that you can find equivalent ratio by adding the same number to both coordinate of the point. is adela correct? explain.