The line plot that correctly represents the given data set is: line plot C.
<h3>What is a Line Plot?</h3>
On a line plot, the frequency of a data points is represented using "x" as many times as the data points appear in the data set.
The data point with the highest frequency is 11¼ which is also 11⅛. And they appear 4 times in the given data set.
So, the line plot that correctly shows the data is: line plot C.
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Answer:
$5829.57
Step-by-step explanation:
Annually compounding interest formula: 
5000(1+.0525)^3
5829.567266
which rounds to: 5829.57
Answer:
-4
Step-by-step explanation:
Y2 = -24 and Y1 = 0
X2 = 0 and X1 = -6
Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4
y= -4x + c
y + 4x= c
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:

With this equation we can define y in function of x as:

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

We can express the total cost of painting as:

To calculate the minimum cost, we derive this function C and equal to zero:
![\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdx%7D%3D280%28-1%29%5Cdfrac%7B1%7D%7Bx%5E2%7D%2B0.14%282x%29%3D0%5C%5C%5C%5C%5C%5C-%5Cdfrac%7B280%7D%7Bx%5E2%7D%2B0.28x%3D0%5C%5C%5C%5C%5C%5C0.28x%3D%5Cdfrac%7B280%7D%7Bx%5E2%7D%5C%5C%5C%5C%5C%5Cx%5E3%3D%5Cdfrac%7B280%7D%7B0.28%7D%3D1000%5C%5C%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B1000%7D%20%3D10)
The sides of the room have to be x=10 feet.
The height can be calculated as:

The room will have sides of 10 feet and a height of 8.75 feet.