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elizzabel1944
01.04.2020 •
Mathematics
A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what percentage of cars are driving less than 45 mi/hr? (Round to the nearest tenth of a percent)
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Ответ:
the percentage of cars that are driving less than 45 mi/hr is 2.3%
Step-by-step explanation:
Since the speeds of cars are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = speeds of cars
µ = mean speed
σ = standard deviation
From the information given,
µ = 55 mi/hr
σ = 5 mi/hr
The probability that a car is driving less than 45 mi/hr is expressed as
P(x < 45)
For x = 45
z = (45 - 55)/5 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
Therefore, the percentage of cars that are driving less than 45 mi/hr is
0.023 × 100 = 2.3%
Ответ:
Lewis has a net spendable income of $2,000 per month. He sets up the transportation budget for himself.
Transportation(15% - 20%) = maximum $400
Lewis had done wrong in budgeting. He had budgeted more than the maximum recommended amount of money for transportation. This is why nothing is left for maintenance or repair.