A survey asked eight students about their scores on a history test and whether they studied for the test. The table shows the results of the survey.

Test Scores
Studied
Did Not Study
88
34
90
67
86
80
96
59

Which statements about the data sets are true? Check all that apply.
The mean absolute deviation for the group of students who studied is 12.
The mean absolute deviation for the group of students who did not study is 13.5.
The data for the group that studied are more spread out than the data for the group that did not study.
The data for the group that did not study are more spread out than the data for the group that studied.
The data for the group that studied are more clustered around the mean than the data for the group that did not study.
The data for the group that did not study are more clustered around the mean than the data for the group that did study.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .