To rent a certain meeting room, a college charges a reservation fee of $ 37 and an additional fee of $ 9.70 per hour. the math club wants to spend less than $ 114.60 on renting the meeting room.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.