The volume of this rectangular prism is 59.52 cubic feet. What is the value of p?
4.8 ft
3.1 ft
р
= how many feet?

Using statistics helps us make decisions based on empirical evidence, which is obtained through data analysis and inference.

Statistics provides us with a set of tools and methods to collect, analyze, and interpret data. By applying statistical techniques, we can make decisions based on evidence derived from empirical observations and measurements.

Statistics allows us to summarize and describe data, identify patterns and relationships, and draw conclusions from samples or populations. It helps us quantify uncertainty and assess the strength of evidence supporting different claims or hypotheses.

Decision-making based on statistics involves making inferences about a larger population based on the information available from a sample. By using probability theory and statistical models, we can estimate population parameters, test hypotheses, and make predictions about future events or outcomes.

Statistics provides a systematic and rigorous framework for evaluating evidence and reducing bias in decision-making. It allows us to objectively assess the reliability and validity of information, making decisions that are informed by data-driven analysis rather than intuition or anecdotal evidence.

In summary, statistics helps us make decisions based on evidence obtained through data analysis, enabling us to draw reliable conclusions, quantify uncertainty, and make informed choices in various fields such as business, medicine, social sciences, and more.

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Answer:

The scale drawing is 1 centimeter to 50 meters  ⇒ answer E

Step-By-Step Explanation:

* Lets explain how to solve the problem

- The height of the empire state building is about 1450 feet long and

 400 feet wide

- Andre wants to make a scale drawing of the front view of it on an

8 1/2 inches by 11 inches piece of paper

- We need to select one of these scales that we think is the most

appropriate for the scale drawing

A. 1 inch to 1 foot

B. 1 inch to 100 feet

C. 1 inch to 1 mile

D. 1 centimeter to 1 meter

E. 1 centimeter to 50 meters

F. 1 centimeter to 1 kilometer

- For scale A , B , and D the scaled image will not fit the page

- For scale C and F the drawing will be very small because 1 mile

is 5280 feet and 1 kilometer is 3280.84 feet

- E is most appropriate because 1 meter is 3.28084 feet, then the

height of the empire state is 442 m dividing by 50 m gives about

8.8 cm and the height of the paper is 11 inches which is about 28 cm

and the width of the empire state is about 122 m dividing by 50 m

gives about 2.5 cm and the width of the paper is 8 1/2 inches which

is about 22 cm then the drawing will be appropriate for drawing

∴ The scale drawing is 1 centimeter to 50 meters

The volume of each of the five colors in a 4-inch cubed notepad is given as follows:

0.512 in³.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

The side length for this problem is given as follows:

4/5 = 0.8 in.

Hence the volume is given as follows:

V = 0.8³ = 0.512 in³.

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Answer:

A≈706.86

Step-by-step explanation:

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Answer:

Let π =22/7

area of circle = πr²

= 706.86

Step-by-step explanation:

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Answer:

An appropriate price for the poster would be about $2.75 because the dimensions of the second poster is the first poster, divided by 2. So if the poster was cuts in half in dimensions, so should the cost of the poster. You divide $5.49, which would equal $2.745, which would be rounded to the nearest cent, $2.75.

Hope this helps!

The equation of a circle with its center at the origin and passes through the point (5,0):   x2+y2=25

the equation of a circle of with the center (2,3) and containing the point (3,2): x2+y2=2

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

(x-h)^2+(y-k)^2=r2

                          is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation

x2+y2=r2

             for a circle centered at the origin.

Since we are aware that the circle's center is at its origin, i.e.

This fact, together with the circle's intersection point (5,0), can be used to determine the radius. The distance formula is used for this.

r=√(x2−x1)^2+(y2−y1)^2

In light of (0,0) and (5,0):

r=√(5−0)^2+(0−0)^2

=√25+0

√25=5

⇒ r=5

Therefore, x^2+y^2=(5)^2

                   x2+y2=25 is the equation for the circle.

(x-h)^2+(y-k)^2=r2 is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation x2+y2=r2 for a circle centered at the (2,3).

Since we are aware that the circle's center is at (2,3), i.e.

This fact, together with the circle's intersection point (3,2), can be used to determine the radius. The distance formula is used for this.

r=√(x^2−x1)^2+(y2−y1)^2

In light of (2,3) and (3,2):

r=√(3−2)^2+(2−3)^2

r = √(1)^2+(-1)^2

= √1+1

=√2

⇒ r=√2

Therefore, x2+y2=(√2)^2

                   x2+y2=2 is the equation for the circle.

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If LA Galaxy has won 36% of their soccer matches, this means that they have won 36/100 * 50 = 18 matches.

So, they have won 18 matches out of 50.

Step-by-step explanation:

percentage of soccer matches won = 36%

total matches = 50

matches won = 36/100 * 50

=18

Answer:

87 or 75 dollars

Step-by-step explanation:

So first we have to 29 by 5 wich gives us 5.8 so he raked 5.8 packs of 5 bags then you multiply 15 by 5.8 so he made 87 dollars

Unless:

Your not counting the point 8 leaves in that case the answer would be 75

Sheri should invest $2000 in mutual fund and $13,200 in bond.

Let the amount to be invested in mutual fund be x. So, the amount to be invested in bond will be (15,200 - x). Forming the equation now -

1%×x + 4%×(15,200 - x) = 548

x/100 + 60,800/100 - 4x/100 = 548

60,800 - 3x = 54800

3x = 60800 - 54800

3x = 6000

x = 6000 ÷ 3

x = 2000

Amount to be invested in mutual fund = $2000

Amount to be invested in bond = 15,200 - 2000

Amount to be invested in bond = $13,200

Sheri should invest $2000 and $13,200 in mutual fund and bond respectively.

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Answer: $7.50x+$12.50y ≤ $100

Step-by-step explanation:

This is because x represents the number of tickets that cost $7.50 while y represents the number of tickets that cost $12.50. The end result has to be less than or equal to (≤) the amount of money she had to begin with ($100.)

Answer:

$7.50x+$12.50y ≤ $100

Step-by-step explanation:

now What is the maximum number of matinee tickets Myranda could purchase with her gift card?

Answer:2693

Step-by-step explanation:

Answer:

Ig its rhombus for question A

Answer:

1. -25

3. 15

5. -5/4

Explanation:

Considering the given functions for a(x)

1. To solve for a(8), we'll have to use the third function since we're given that x > 1 in the 3rd function and we know that 8 is greater than 1.

So we'll have;

3. To solve for a(-7), we'll use the 1st function because -7 is less than -6 and the condition is x <= -6;

5. a(-1/2)

In this case, we'll use the 2nd function is -1/2 lies between -6 and 1.

So, we'll have;

Answer:

24/48 is the wer

Step-by-step explanation:

Answer:

the answer is

Step-by-step explanation:

\( \frac{6 }{ 12} = \frac{24}{n} \)

6*n=24*12

\(n = \frac{24 \times 12}{6} \)

n=48

Answer:

You make no sense

Step-by-step explanation:

Answer:

THERE IS NOT A GRAPH

Step-by-step explanation:

Answer:

Mean = 3.5

Median = 3.5

Mode = 5, 2

Step-by-step explanation:

Hope that helps!

Mean: To find the mean, simply add the numbers together and divide by the amount of numbers in the set:

Mean: (5 + 2 + 5 + 2)/4

= (14)/4

= 3.5

Mean = 3.5

Median: To find the median, simply order from least to greatest, and find the middle number in the set. That is your median. In the case of an even amount of numbers in the set, find the mean with the two median numbers (as in this case):

Median: (2 + 5)/2

= 7/2

= 3.5

Median: 3.5

Mode: The Mode is the number that shows up the most frequently. As both given numbers show up the same amount of times (twice), there is no mode.

Mode: None.

Range: The Range is found by subtracting the greatest number with the least number:

5 - 2 = 3

Range: 3

The measure of the major arc JLK will be 206°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the minor arc JK will be 154°.

Then the sum of the major arc and minor arc in a circle is 360°.

Then the major arc JLK will be given as,

JLK + JK = 360°

JLK + 154° = 360°

JLK = 206°

The measure of the major arc JLK will be 206°. Then the correct option is B.

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x = 5.25

since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25

hope this is helpful!

To prove that [f(x)]3 = f(x3) + 3f(x1), we can use the binomial theorem. According to the theorem, for a binomial equation of the form (x + y)n, the result will be the sum of all the terms of the expansion of that equation, which can be determined using the equation:
(x + y)n = Σk=0n(nCk) xn-kyk
Here, nCk is the binomial coefficient, and is calculated as n! / (k! (n-k)!).

For our equation, we have x = f(x), y = f(x1) and n = 3. Substituting these values in the equation, we get:
[f(x)]3 = Σk=03(3Ck) f(x)3-kf(x1)k
When k = 0, the equation simplifies to [f(x)]3 = f(x3) and when k = 3, the equation simplifies to [f(x)]3 = 3f(x1).
By adding these two equations, we can get the final equation: [f(x)]3 = f(x3) + 3f(x1)
Hence, we have successfully proved the statement.

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Given:

Simplife:

The given simplifies equation is:

After the compare the both inequality:

a=2

b=2

c=2

d=6

e=1

f=9

The expected return for Umbrella Company is .40.

Expected Return for Umbrella Company is calculated by the following formula;`ER = p1r1 + p2r2`

Where `ER` is the expected return, `p` is the probability and `r` is the return for each state.

Therefore, the expected return for Umbrella Company can be calculated as follows:

\($$ER = (.60 \times .20) + (.40 \times .70)$$$$

ER = .12 + .28$$$$

ER = .40$$\)

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Answer:

y = (6/5)x -2

Step-by-step explanation:

Answer:

y = 6/5x - 2

Step-by-step explanation:

In this question, we have to find the equation of the line with the given information.

We know that the the slope is 6/5 and it passes through the point (5, 4)

Lets represent this problem in slope intercept form with just the slope, since we need to find the "y-intercept".

y = 6/5x + b

To find the y-intercept, plug the values of the coordinate into the equation and solve for b:

4 = 6/5(5) + b

Solve for b:

4 = 6/5(5) + b

4 = 30/5 + b

4 = 6 + b

Subtract 6 from both sides to get "b" by itself.

-2 = b

This means that the y-intercept would be -2

When we put in into our slope intercept equation, it should look like this:

y = 6/5x - 2

y = 6/5x - 2 would be the equation of the line

The standard equation of a line calculator is a tool that helps you determine the equation of a straight line in the standard form, which is : Ax + By = C, where A, B, and C are constants and x and y are variables.

To use the calculator, you need to input the coordinates of two points that lie on the line. The calculator then uses the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept, to calculate the slope and y-intercept of the line.

Once the slope and y-intercept are determined, the calculator converts the slope-intercept form to the standard form by rearranging the equation to the standard form.

Overall, the standard equation of a line calculator is a helpful tool for quickly and easily determining the equation of a straight line in the standard form, given two points on the line.

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Answer:

37

Step-by-step explanation:

The solution of the integral function evaluated is determined as ¹/₈.

option A is the correct answer.

The solution of the integral function is calculated as follows;

The given integral function;

\(\int\limits^2_1 {(\frac{1}{x^2} - \frac{1}{x^3} )} \, dx\)

The values of the integrands is also given as;

\(\int\limits^2_1 {\frac{1}{x^2} } \, dx= \frac{1}{2}\)

\(\int\limits^2_1 {\frac{1}{x^3} } \, dx= \frac{3}{8}\)

The given integral function can be expanded as follows;

\(\int\limits^2_1 {(\frac{1}{x^2} - \frac{1}{x^3} )} \, dx = \int\limits^2_1 {\frac{1}{x^2} } \, dx \ - \int\limits^2_1 {\frac{1}{x^3} } \, dx\)

From the given values of the integrands, we can substitute their values into the expanded integral function as follows;

\(\int\limits^2_1 {\frac{1}{x^2} } \, dx \ - \int\limits^2_1 {\frac{1}{x^3} } \, dx = \frac{1}{2} \ - \ \frac{3}{8}\)

We can simplify further to evaluate the fraction expression as follows;

= ¹/₂ - ³/₈

= ¹/₈

Thus, the solution of the integral function after evaluation is determined as ¹/₈.

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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Vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

We can use the gradient of f(x, y) at that point.

The gradient of f(x, y) is given by:

∇f(x, y) = ( ∂f/∂x , ∂f/∂y )

So, we have:

∂f/∂x = \(e^x\) - 1

∂f/∂y = -x sin y

At the point (a, b), the gradient vector is:

∇f(a, b) = ( \(e^a\) - 1 , -a sin b )

The level curve of f(x, y) is the set of points (x, y) where f(x, y) = k for some constant k. In other words, the level curve is the curve where the surface s intersects the plane z = k.

Let (a, b, c) be a point on the surface s that lies on the level curve at the point (a, b). Then, we have:

f(a, b) = c

Differentiating both sides with respect to x and y, we get:

∂f/∂x dx + ∂f/∂y dy = 0

This equation says that the gradient vector of f(x, y) is orthogonal to the tangent vector of the level curve at the point (a, b).

Therefore, the vector that is perpendicular to the level curve at the point (a, b) is the opposite of the gradient vector:

-∇f(a, b) = (\(-e^a\) + 1, a sin b)

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Answer:

b.d-6 that's the correct answer

Answer:

it is a

Step-by-step explanation: