A record store owner assesses customers entering the store as high school age, college age, or older, and finds that among all customers 30%, 50%, and 20% respectively, fall into these

categories. The owner also found that purchases were made by 20% of high school age

customers, by 60% of college age customers, and by 80% of older customers.

(a) Find the probability that a randomly chosen customer will make a purchase?

(b) If a customer makes a purchase, what is the probability that this customer is of college

age?

Step-by-step explanation:

(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) (0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

  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).

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this