A researcher tests the braking distances of several cars. The braking distance from 60 miles per hour to a complete stop on dry pavement is measured in feet. The braking distances of a sample of cars are normally distributed, with a mean of 129 feet and a standard deviation of 5.18 feet. What is the longest braking distance one of these cars could have and still be in the bottom 1%?

a. Sketch a graph.

b. Find the z-score that corresponds to the given area.

c. Find x using the formula x = μ + zσ.

d. Interpret the result.