2x-1=5-6x
2x=5-6x+1
2x=-6x+6
2x+6x=6
8x=6x=6/8
x=3/4
Oh hey, its me again.
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:
87000
Step-by-step explanation:
Answer:
It is 4x + 4y.
Step-by-step explanation:
All you have to do is add all of the y's toghther and then add all of the x's toghther.
9a. The answer is 1.07% because the function shows an exponential growth in the exponential function.
9b. The first population was about 2622 because it shows that the first year is the domain to find the range of the function when x is equal to 1.