Adance competition on television had five elimination rounds. after each elimination, only one-fourth of the contestants were sent to the next round. the table below shows the number of contestants in each round of the competition:

compute the average rate of change of f(x) from x = 2 to x = 4 and describe what it represents. (1 point)

x 1 2 3 4 5
f(x) 512 128 32 8 2

−60 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−120 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−60 contestants per round, and it represents the number of contestants who will reach the final round

−120 contestants per round, and it represents the number of contestants who will reach the final round

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

What is the greater volume 72 quarts or 23 gallons

The ratio of the ages (in years) of three children is 2: 4: 5. the sum of their ages is 33. what is the age of each child?