Rafael does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 5 hours. He spends at most 3 hours doing cardiovascular work. He spends at most 12 hours on weight training. Let r denote the time (in hours) that Rafael spends doing
cardiovascular work. Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of r and y that
satisfy these requirements.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.