The number 42 has the prime factorization 2 · 3 · 7. Thus 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number 910 can be written as a product of two positive integer factors. (Enter your answer as a comma separated list of products.) (b) If n = p1p2p3p4, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors? (c) If n = p1p2p3p4p5, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors? (d) If n = p1p2 pk, where the pi are distinct prime numbers, how many ways can n be written as a product of two positive integer factors?

7.(03.01 lc)which set represents the range of the function shown? {(-1, 5), (2,8), (5, 3), 13, -4)} (5 points){-1, 2, 5, 13){(5, -1), (8, 2), (3,5), (-4, 13)){-4, 3, 5, 8}{-4, -1, 2, 3, 5, 5, 8, 13}

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Which of the following graphs could represent a cubic function?