Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow). Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.

0.054

Step-by-step explanation:

Cathy is playing a game with a set of 24 cards equally divided into 4 colors. This means that each card has 24/4 = 6 colors.

The probability of selecting the first red card will be 6/24. The probability of selecting the second one will be 5/23 without replacement.

Therefore, probability of her randomly selecting a red card, not replacing it, and then selecting another red card will be:

= 6/24 × 5/23

= 30/552

= 0.054

  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).