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ElenaW [278]
3 years ago
10

You make a cylinder that has a radius of 4 feet and a height of 7 feet out of cardboard. Cardboard costs$0.08 per square foot. h

ow much does it cost you to make?
Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

Step-by-step explanation:

Here, you should find the area of the cylinder. Remember the superficial area of a cylinder is

2\pi rh+2\pi r^2 ( )

Since we have r= 4 and h=7, we get

A= 2\pi (4)(7)+2\pi(4)^2=88\pi

To find the cost you only need to multiply area A by 0.08. That is

C= 88\pi \times 0.08

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Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

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Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

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