Answer:
35/70
Step-by-step explanation:
7x5=35
5/14=70
35/70
You can symplify to 1/2
Well if you set the equation equal to zero X will equal negative 4 so if you take your other answer choices and equal them to zero whichever one x equals negative 4 that's your answer
Step-by-step explanation:
w(2w - 30) = 5400
2w²- 30w = 5400
2w² - 30w - 5400 = 0
(w - 60 ) ( w + 45 ) = 0
w= 60 w= - 45
only take the positive value
therefore w = 60
-29 is 29 degrees away from 0 degrees.
31 is 31 degrees away from 0 degrees.
-29 (the temperature in Duluth) is closer to 0, because 29 is less than 31.
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)