Frank, sofia, eldridge, and jake are the four qualifiers for a charity raffle with two $500 prizes. one of their names will be drawn for the first prize then replaced, at which point the second prize winner will be drawn. draw a tree diagram to determine the sample space and find the probability that (a) one person wins both prizes. (b) there are two different winners. (c) sofia wins at least one prize. (d) frank wins both prizes. (e) the two winners are jake and eldridge.

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

What is the expression in factored form? 3x^2 + 18x + 24 a. 3(x+2)(x+4) b. 3(x-2)(x+4) c. 3(x-2)(x-4) d. 3(x+2)(x-4)

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.