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Sergio039 [100]
3 years ago
12

What is the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft?

Mathematics
2 answers:
lina2011 [118]3 years ago
6 0

Answer:

5889.95

Step-by-step explanation:

hodyreva [135]3 years ago
5 0

Answer:

5889.95

Step-by-step explanation:

volume of a cylinder is the area of the base times the height. To find the area of the base it is a=\pi r^{2} Since they give diameter you need to find radius by dividing. 17.5 divided by 2 is 8.75. the area is 76.5625\pi then times height it is 1875.78125\pi then, like they said, use 3.14 as pi. Round to get 5889.95 :)

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Hello,

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Answer:

a) 29.4-1.96\frac{7}{\sqrt{10}}=25.06  

29.4+1.96\frac{7}{\sqrt{10}}=33.74  

So on this case the 95% confidence interval would be given by (25.06;33.74)  

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\mu population mean (variable of interest)  

\sigma=7 represent the population standard deviation  

n=10 represent the sample size  

95% confidence interval  

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\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96  

Now we have everything in order to replace into formula (1):  

29.4-1.96\frac{7}{\sqrt{10}}=25.06  

29.4+1.96\frac{7}{\sqrt{10}}=33.74  

So on this case the 95% confidence interval would be given by (25.06;33.74)  

Part b

What are H0 and Ha for this study?  

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Alternative hypothesis :\mu>25  

Compute the test statistic

The statistic for this case is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

z=\frac{29,4-25}{\frac{7}{\sqrt{10}}}=1.988  

Give the appropriate conclusion for the test

Since is a one side right tailed test the p value would be:  

p_v =P(z>1.988)=0.0234  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.    

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Answer for brainlest for 25 points
Gnom [1K]

Answer:

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