Heights of four-year olds are Normally distributed, with a mean of 40 inches and a standard deviation of 3 inches. At her four-year checkup, Hannah's height measures in the 99th percentile. How tall is Hannah? Find the z-table here.

33.0 inches
34.1 inches
47.0 inches
48.2 inches

Factor this polynomial completely x^2-64

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

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.