Answer:
C both
Step-by-step explanation:
There is a graph
No the correct way would be 3/5
Answer:
Y = -0.09594X + 74.35629
Step-by-step explanation:
Given the data :
Job average annual salary (X) :
81
96
70
70
70
92
92
100
98
102
Stress tolerance (Y) :
69
62
67.5
71.3
63.3
69.5
62.8
65.5
60.1
69
Using technology, the linear model Obtian by fitting the given data is :
Y = -0.09594X + 74.35629 ;
Where ;
Y = stress tolerance (dependent variable)
X= Average annual salary (Independent variable)
Slope = 0.09594
Intercept = 74.35629
The table is attached in the figure.
g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x
∴ g'(x) =
⇒⇒⇒⇒⇒⇒ chain role
To find g '(0.1)
Substitute with x = 0.1
from table:
f'(0.1) = 1 ⇒ from the table
∴ g'(0.1) = 4 * [ f'(0.1) ] = 4 * 1 = 4
Answer:
86
Step-by-step explanation:
Mean scores of first test = ![u_{1}=23](https://tex.z-dn.net/?f=u_%7B1%7D%3D23)
Standard deviation of first test scores = ![\sigma_{1} =4.2](https://tex.z-dn.net/?f=%5Csigma_%7B1%7D%20%3D4.2)
Mean scores of second test = ![u_{2}=71](https://tex.z-dn.net/?f=u_%7B2%7D%3D71)
Standard deviation of second test scores = ![\sigma_{2} =10.8](https://tex.z-dn.net/?f=%5Csigma_%7B2%7D%20%3D10.8)
We have to find if a student scores 29 on his first test, what will be his equivalent score on the second test. The equivalent scores must have the same z-scores. So we have to find the z-score from 1st test and calculate how much scores in second test would result in that z-score.
The formula for z-score is:
![z=\frac{x-u}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-u%7D%7B%5Csigma%7D)
Calculating the z-score for the 29 scores in first test, we get:
![z=\frac{29-23}{4.2}=1.43](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B29-23%7D%7B4.2%7D%3D1.43)
This means, the equivalent scores in second test must have the same z-scores.
i.e for second test:
![1.43=\frac{x-71}{10.8}\\\\ x-71 = 15.444\\\\ x = 86.444](https://tex.z-dn.net/?f=1.43%3D%5Cfrac%7Bx-71%7D%7B10.8%7D%5C%5C%5C%5C%20x-71%20%3D%2015.444%5C%5C%5C%5C%20x%20%3D%2086.444)
Rounding of to nearest integer, the equivalent scores in the second test would be 86.