A researcher wants to obtain a sample of 25 teachers from a school district employing 400 teachers in 8 schools. Choose the BEST method for doing this.
A) Select the teachers whose students have the highest grade point averages in the system.
B) Ask the principal of each school to choose 3 teachers, then select the 25th teacher randomly.
C) Randomly select 12 male teachers, 12 females, and then randomly select a 25th teacher of either sex.
D) From an alphabetized list, select a teacher randomly, then select every 16th teacher on the list until 25

D

Step-by-step explanation:

Took the test with that question, on U.S test Prep

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

i believe that the slope of the line is -5

step-by-step explanation: