A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9

The probability is 1/6

Step-by-step explanation:

Since we are rolling a pair of die, the number of expected results is 36

Sum that can be greater than 9 include;

4,6

6,4

5,5

6,5

5,6

6,6

This shows 6 out of a possible 36

So the probability will be 6/36 = 1/6

  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).