Write a regular expression for the language of all strings over {a, b} in which every b is directly preceded by a, and may not be directly followed by more than two consecutive a symbols.

Astudent must have an average on five test that is greater than it equal to 80% but less than 90% to receive a final grade of b. devon's greades on the first four test were 78% 62% 91% and 80% what range if grades on the fifth test would give him a b in the course? ( assuming the highest grade is 100%)