Rachel is setting up tables for a party. Two of the tables are covered with red tablecloths
Four of the tables are covered with white tablecloths
Guests will be randomly seated at the tables when they arrive.
What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?

it is a 1/3 chance

Step-by-step explanation:

there are 12 tables in total, 4 red and 8 blue. you can render that down to 1 red and 2 blue, now there are 3 tables and only 1 is red, therefore the answer is 1/3 chance

  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).