In a survey at a local university 35%, of students say that they get less than the recommended eight hours of sleep per night. In a group of 2000 students, how many would you expect get eight or more hours of sleep per night?

1,500 students

Step-by-step explanation:

Since in the question it is mentioned that 35% of students get less than 8 hours of sleep

And, there is a group of 2,000 students

Now the number of students who get eight or more hours per night sleep is

Suppose the total percentage be 100

Now the students more than 8 hours is

= 100 - 35%

= 0.75

And, the total students is 2,000 students

So, the number of students who get eight or more hours is

= 2,000 students × 0.75

= 1,500 students

The same is to be considered

  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).