There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. what is the probability that it will rain tomorrow and the volleyball game will be postponed? 14% 35% 50% 90%

The correct option is A. 14%

Step-by-step explanation:

There is a 70% chance of rain tomorrow

⇒ The probability that it will rain tomorrow = 0.7

There is a 20% chance that the volleyball game will be postponed

⇒ The probability that the volleyball game will be postponed = 0.2

Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%

Thus, the correct option is A. 14%

  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).