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777dan777 [17]
3 years ago
8

The area of a circle is 25π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
8 0

Answer:

10π

Step-by-step explanation:

A = πr^2

C = 2πr

  1. \sqrt{25} = 5
  2. 5 = r
  3. 2 * 5 = 10
  4. C = 10π
Elza [17]3 years ago
6 0
The answer is 10 Pi. Sorry I can’t show work
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Answer:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

\hat p=0.36 estimated proportion with the survey

p_o=0.41 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:  

Null hypothesis:p\geq 0.41  

Alternative hypothesis:p < 0.41  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017  

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