A group of students were asked how many times they exercised in the past week. The results were: 0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3 ,3,4,4,4,4,4,5,6,7,7,7. a. Construct a histogram summarizing the data. Use [0,2), [2,4), etc. as the bins.

Kindly check attached picture for histogram plot

Step-by-step explanation:

Given the data:

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

The range [0,2), [2,4), is the same as ;

Class range __ frequency

0 - 1 __________ 11

2 - 3 __________ 8

4 - 5 __________ 6

6 - 7 __________ 4

Kindly see picture for histogram plot

  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).

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3