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.
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
The first is ...
6 ≥ x
and it can also be written as ...
x ≤ 6
The second is
-2 ≤ x
The two inequalities can be combined into one compound inequality:
-2 ≤ x ≤ 6
_____
<em>Comment on this answer</em>
I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...
6 ≥ x ≥ -2
X² = hyp² - cat²
x² = 625 - 156.25
x² = 468.75
x ≈ 21,6
ANSWER

EXPLANATION
The equation of the curve is:


We differentiate to obtain:


The length of the arc

This implies that:


