The mileage is within a z-score of 1.5 is (b) 24 miles
How to determine the mileage?
From the complete question, we have the following parameters:
Standard deviation = 3.6
Mean = 18.6
z = 1.5
The z-score is calculated using:
\(z= \frac{x - \mu}{\sigma}\)
So, we have:
\(1.5= \frac{x - \mu}{\sigma}\)
Cross multiply
\(x - \mu= 1.5\sigma\)
Make x the subject
\(x = 1.5\sigma + \mu\)
Substitute known values
\(x = 1.5 * 3.6 + 18.6\)
Evaluate
x = 24
Hence, the mileage is within a z-score of 1.5 is (b) 24 miles
Read more about z-scores at:
https://brainly.com/question/25638875
#SPJ5
