A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 77, with a standard deviation of 7. The teacher wishes to give A's to the top 4.5% of the students and F's to the bottom 4.5%. A grade of B is given to the next 19.8%, with D's given similarly. All other students get C's. Find the bottom cutoff for a grade of A. The bottom cutoff for an A is (Round to the nearest whole number as needed.)

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