A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digital tv service the company has provided. all numbers are in the 174 exchange, so there are 10 comma 000 possible numbers from 174-0000 to 174-9999. if they select the numbers with equal probability: what is the probability the number selected will be an even number?

1/2 or 0.5

Step-by-step explanation:

To determine whether the numbers are odd or even, we must take note of the last digit of the number.

The number ranges from 174-0000 to 174-9999

So, the last digit ranges from 0 to 9.

For the number to be even, the last digit must be even or zero.

Possible last digit for even numbers are;

0,2,4,6,8

Making it 5 possible last digit for even numbers.

Possible last digit of all numbers are;

0,1,2,3,4,5,6,7,8,9

10 possible last digits.

the probability the number selected will be an even number;

P = number of even last digits/number of all possible last digits

P = 5/10

P = 1/2 = 0.5

  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).