Answer and explanation:
The data we get from counting how many people entering a building in one minute is the sample of the population size. We do this since it would be tedious or not feasible to stand and count one by one how many people enter the building and so we do a good estimate with our one minute sample
Let's assume in one minute, 15 people enter the building and it takes one hour for everyone to enter the building
Population size would be 15*60 minutes= 900 people
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:
Step-by-step explanation:
You cannot solve the problem because it doesn't have an equal sign, but I suppose you can simplify it. Look at this screenshot, it may help:
Solution :
Let 
be the unit vector in the direction parallel to the plane and let 
be the component of F in the direction of 
and 
be the component normal to .
Since, 
Therefore, 
From figure,
We know that the direction of 
is opposite of the direction of , so we have
The unit vector in the direction normal to the plane, 
has components :
Therefore, 
From figure,
∴ 
Therefore,
Answer:
2.75
Step-by-step explanation:
Divide 13.75 by five.
