Answer: the answer is 0.04
Step-by-step explanation:
Answer:
a
![z-score = 1.57](https://tex.z-dn.net/?f=z-score%20%3D%201.57)
b
![z-score_s = -3.36](https://tex.z-dn.net/?f=z-score_s%20%3D%20-3.36)
Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is ![\= x_1 = 353](https://tex.z-dn.net/?f=%5C%3D%20x_1%20%3D%20%20353)
The sample mean of swells is ![\= x_2 = 184](https://tex.z-dn.net/?f=%5C%3D%20x_2%20%3D%20%20184)
The standard deviation of sag is ![s_1 = 30](https://tex.z-dn.net/?f=s_1%20%20%3D%20%2030)
The standard deviation of swells is ![s_2 = 25](https://tex.z-dn.net/?f=s_2%20%20%3D%20%2025)
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as
![z-score_s = \frac{ k - \= x_2}{s_2}](https://tex.z-dn.net/?f=z-score_s%20%3D%20%5Cfrac%7B%20k%20-%20%5C%3D%20x_2%7D%7Bs_2%7D)
=> ![z-score_s = \frac{ 100- 184}{25}](https://tex.z-dn.net/?f=z-score_s%20%3D%20%5Cfrac%7B%20100-%20184%7D%7B25%7D)
=> ![z-score_s = -3.36](https://tex.z-dn.net/?f=z-score_s%20%3D%20-3.36)
Generally the z-score for the number of sags is mathematically represented as
![z-score = \frac{ c - \= x_1}{s_1}](https://tex.z-dn.net/?f=z-score%20%3D%20%5Cfrac%7B%20c%20-%20%5C%3D%20x_1%7D%7Bs_1%7D)
![z-score = \frac{ 400 - 353}{30}](https://tex.z-dn.net/?f=z-score%20%3D%20%5Cfrac%7B%20400%20-%20353%7D%7B30%7D)
![z-score = 1.57](https://tex.z-dn.net/?f=z-score%20%3D%201.57)
The answer is 30 days until it appears on a Friday again. In order to see the full moon again, we have to go through the entire cycle. So, it will be about 30 days before we would have seen another one.
Angie can make 50 groups of cookies and brownies.