<h3>
Answer: 16.5</h3>
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Explanation:
We use cosine to tie together the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(38) = x/21
21*cos(38) = x
x = 21*cos(38)
x = 16.5482258257411
x = 16.5
The radius will be the number given divided by 2
Answer: b. 8.56 to 21.44
Step-by-step explanation:
Let
be the mean number of pushups that can be done.
As per given , we have
Sample size : n= 10
Degree of freedom = n-1=9
Sample mean : 
Sample standard deviation : 
Significance level : α=1-0.95=0.05
From t- distribution table ,
Critical two -tailed t-value for α=0.05 and df = 9 is

Confidence interval for
is given by :-


Hence, the 95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.
4.67, it’s a repeating decimal
They are equal because you can measure the percentage as a decimal with a maximum of 1.