A data set on money spent on lottery tickets during the past year by households has a lowest value of and a highest value of . Suppose we want to group these data into classes of equal widths. Assuming we take the lower limit of the first class as and the width of each class equal to , what are the class boundaries and class midpoints

Following are the complete solution to the given question:

Step-by-step explanation:

The Lower-limit of the Ist class:

The width of the class interval:

Lower-limit for the next five-class:

Upper-limit for the next five-class:

For point a:

class intervals  

For point b:

Mid-points:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2