D is the ans. Square root of 49 equals to 7
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
Answer:
Step-by-step explanation:
Let X be the initial price and P be the final price.
#Given a discount of 15% then 10% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.10%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 10% then 15% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.1%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 25%

Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.
Answer:
I believe the answer is 20
Answer:
900 cubic inches.
Step-by-step explanation:
<u>Given the following data;</u>
Volume of right circular cone = 300in³
We know that the volume of a right circular cone is given by the formula;
Where;
- V is the volume of right circular cone.
- r is the radius of the base of the right circular cone.
- h is the height of the right circular cone.
The volume of a right circular cylinder is given by the formula;
<em>Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder. </em>
Substituting into the equation, we have;
V = 900in³
<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches. </em>