Answer:
radius = 21
circumference = 138.88
Step-by-step explanation:
First divide the area by 3.14, this equal 441
441 is your radius squared.
Then you have to find the root of 441 which is 21.
radius = 21
diameter = twice the radius or 2 * radius
diameter = 21 * 2 = 42
diameter = 42
Then plug 42 in your circumference formula.
Which is then C = 3.14(42).
Which means the circumference is 131.88.
The numbers are irrational, so I can't write them exactly with digits.
When rounded to the nearest ten-thousandth, they are
31.3746
and
-6.3746 .
The correct answer is the second from the top.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 25
The sample mean is 
The standard deviation is 
Let assume the level of significance of this test is 
The null hypothesis is 
The alternative hypothesis is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the student t distribution table the probability of obtaining
to the right of the curve at a degree of freedom of
is

From the value obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.