Explain how you solved each of the following equations. Be sure to explain your work and check your solutions by plugging them back into the equations. Were there any expressions where the solutions didn’t actually work? Why do you think that was the case? Usually there are values that cannot be used or else the equation would be undefined. If you were to graph the equations, what would these values be on the graphs? How does this relate to solutions that don’t work for the equations?

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?