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PolarNik [594]
3 years ago
6

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 4 minutes and a stand

ard deviation of 3 minutes.
Sixty percent of the time, it takes more than how many minutes to find a parking space?
Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

3.24 minutes

Step-by-step explanation:

Use a calculator or chart to find the z-score.

P(Z > z) = 0.60

P(Z < z) = 0.40

z = -0.253

Find the time associated with the z-score.

z = (x − μ) / σ

-0.253 = (x − 4) / 3

x = 3.24

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Mekhanik [1.2K]
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11

Hope this helps you! (:
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Step-by-step explanation:

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