Three pipes a, b, and c can fill the tank in 10 hours, 20 hours and 40 hours respectively. in the beginning all of them are opened simultaneously. after 2 hours, tap c is closed and a and b are kept running. after the 4th hour, tap b is also closed. the remaining work is done by tap a alone. what is the percentage of the work done by tap a alone?

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?