Answer:
Step-by-step explanation:
a)
S=31000+1500Y
Where S is salary and Y is # of years
b)
Salary in 5 years;
=31000+1500(5)
=31000+7500
=38500
Answer:-7/1
Step-by-step explanation:
Answer:
a)
Step-by-step explanation:
for each point (A, B, C) reduce the 'x-value' by two and reduce the 'y-value' by 7
for example, for point A:
to find A': (-6, -7) would be (-6-2, -7-7) which is (-8, -14)
Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3
μ = 31.5 and σ =7.3
Here we have to find score that separates the top 59% from the bottom 41%
So basically we have to find here x value such that area above it is 59% and below it is 49%
This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59
P(Z < z) = 0.49
Using excel function to find the z score for probability 0.49 we get
z = NORM.S.INV(0.49)
z = -0.025
It means for z score -0.025 area below it is 41% and above it is 59%
Now we will convert this z score into x value using given mean and standard deviation
x = (z* standard deviation) + mean
x = (-0.025 * 7.3) + 31.5
x = 31.6825 ~ 31.68
The score that separates the top 59% from the bottom 41% is 31.68