Answer:
The answer is
<h2>( 6 , 4 )</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3, 2) and (9, 6)
The midpoint is

We have the final answer as
<h3>( 6 , 4 )</h3>
Hope this helps you
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:
27 inches
Step-by-step explanation:
We are using the Pythagorean theorem
a^2 +b^2 = c^2 where c is the hypotenuse
We are given the diagonal, which is the hypotenuse and a leg
36^2 + b^2 = 45^2
Subtract 36^2 from each side
36^2 + b^2 - 36^2 = 45^2 - 36^2
b^2 = 45^2 - 36^2
b^2 =2025-1296
b^2 =729
Take the square root of each side
sqrt(b^2) = sqrt(729)
b =27
Answer:
Where the rectangle at?
Step-by-step explanation: