Meandering Martha and Speedy Samantha both miss the bus to school. Martha decides to walk the long way to school - 7 blocks due East, then 24 blocks due North. Samantha takes the shortcut and walks directly to school from the bus stop. If Samantha leaves the bus stop at 7:42 and walks at a rate of 1 block per minute, what time will she arrive at school?

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Me 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.

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes