Question 1188632
The z-scores are {{{(35-46)/11=-1}}} and {{{(75-46)/11=3}}} respectively. By the empirical rule, 68% of data falls within 1 standard deviation of the mean, and 99.7% falls within 3. Since the normal distribution is symmetrical around the mean, 34% of data falls between {{{46-1*11=35}} and {{{46-0*11=46}}}, and 49.85% of the data falls between {{{46+0*11=46}}} and {{{46+3*11=79}}}.
Therefore, 34%+49.85%=83.85% of 1-mile long roadways have between 35 and 79 potholes.