Find the median: In a particular year, approximately 1.7 million people took the mathematics section of a college achievement test. Of these, 44% scored less than 490, 45% scored less than 500, 48% scored less than 510, 51% scored less than 520, and 57% scored less than 530. In what interval is the median score? The median score is in the interval â–¼(Choose one).

the median score would be between 510 and 520

Step-by-step explanation:

The computation of the median score is shown below

In the case of the continuous probability distribution, the median value is the mid value in which the number is equal to fall to above or below it

Here

P(X = median) = 0.5 = 50%

So the median score would be between 510 and 520

Hence, the same is to be considered

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

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled