Answer:
0.659 is the probability that a tutor charges between $10 and $20 per hour.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $15 per hour
Standard Deviation, σ = $5.25 per hour
We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.
Formula:
P( tutor charges between $10 and $20 per hour)
0.659 is the probability that a tutor charges between $10 and $20 per hour.
Answer/Step-by-step explanation:
Equation to represent the daily rental cost for each type of truck can be written as follows:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Where, m = Emily's mileage
To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.
Collect like terms
Divide both sides by 0.6
At approximately 47 miles, both trucks would cost the same amount.
Check:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Plug in the value of x = 47
= 42 + 0.72(47) = $75.84 ≈ $76
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Plug in the value of x = 47
= 70 + 0.12(47) = $75.64 ≈ $76