A set of cards contains four suits. Two suits are red, and two suits are black. In each suit there are cards numbered from 2 to 10 as well as a jack, a queen, a king, and an ace. Consider the following probability for one card selected at random.
P(the selected card is a three or a red card)

7/13

Step-by-step explanation:

To do this, we find the probability of getting a black card, and getting a five but we have to subtract out the black fives.

There are 26 black cards out of the 52 cards in the set.

The are 4 fives out of the 52 cards in the set.

That would mean that 2 of the fives are black. If we didn't subtract the black fives, we would be overcounting.

Therefore we have 26/52 + 4/52 - 2/52 = 28/52 = 14/26 = 7/13

the circle one

  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).