1. The Boeing 727 airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. a) If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 inches.

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.