Carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. at any given time, t, the distance biked can be calculated using the formula d = rt, where d represents distance and r represents rate. if the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take carmen to bike home?

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.