Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer:
x=70
Step-by-step explanation:
x/10=7
First you need to get the x by itself, so you should do the opposite of what is happening to the x.
In this case the x is being divided so you would need to multiply.
So multiply the x by 10 and this gets it by itself.
But you have to do to one side what you do to the other.
So multiply the other side by 10 as well!
This equals x=70
To show work on both sides, show the multiplication of both sides by 10
Answer:
It should be the top left graph where there is point (1,1) and (-1, -1) y = 1/x
Step-by-step explanation:
from the original graph, I see:
f(x) = 2/x because f(2) = 1 = 2/2
f(1/4)= 2/(1/4) = 2
...
so then f(2x) compresses f(x) horizontally by a factor of 2
so f(2x) = 2/(2x) = 1/x
25/20 × 100% = 125%
125% - 100% = 25%
25% profit :)
First and third, second can still be simplified.
