Consider the data set shown below. 42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59 A graph shows intervals labeled 40 to 43 thru 56 to 59 on the horizontal axis and frequency on the vertical axis labeled 0 to 8. To create a histogram of the data given, identify the frequency for the given intervals. The interval 44-47 has a frequency of . The interval 48-51 has a frequency of . The interval 56-59 has a frequency of .

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

Step-by-step explanation:

3

4

1

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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