Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:

The alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that 
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that 
Test statistic:



P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
Answer:
ACUTE ANGLE IS YOUR ANSWER
Answer:
264.575131
Step-by-step explanation:
<u><em>PLEASE MARK BRAINLIEST</em></u>
Answer:

Step-by-step explanation:
Start by drawing out the triangle on the graph:
(See picture)
(By the drawing you can judge me that I am a really bad artist)
Theta and the side lengths are labeled, the hypotenuse has a length of √21 by Pythagora's theorem. Now, time to put everything to the trigonometric functions:

(Suppose that x is theta as I can't type it)
By some basic understanding that's all that I can do.