In Problems 35-39, suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 8. The teacher wishes to give A's to the top \(6 \%\) of the students and F's to the bottom \(6 \%\). The next \(16 \%\) in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for the grades in Problems 35-38.

A