A bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?

8/7752

Step-by-step explanation:

Since we are told that the bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. The total number fo marbles would be:

= 5 + 8 + 7

= 20 marbles

If 4 marbles out at random, without replacement, the probability that all the marbles are red would be:

= 5/20 × 4/19 × 3/18 × 2/17

= 1/4 × 4/19 × 1/6 × 2/17

= 8/7752

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

s

step-by-step explanation: