Answer:201 in squared
Step-by-step explanation:
a right circular cone has
a diameter d=8+in ...........r=4+in
a height of h=12+in
the volume
the vomue 1/3 times pie times r squared times height
the vlolume 1/3 times pie times 4 in squared times 12in
the vlolume 1/3 times pie times 16 in squared times 12 in
the vlolume 192 times pie inches squared over 3
the vlolume 200.96 in squared
whcih should equal 201 inches squared.
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:

By the Central Limit Theorem:



has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
The absolute value sign makes it so that k+7 could be either -3 or +3 and the result would still be 3. This means there are two possible answers for k. The one that makes k+7=-3 and the one that makes k+7=+3. Just solve these two equations:
k+7=-3
k=-3-7
k=-10
k+7=3
k=3-7
k=-4
So the possible answers are -4 and -10. B is the correct choice.
More than two is your answer