A box contains 720 marbles. The result of 20 marbles pulled at random from the box is given below. • 5 red marbles • 6 blue marbles • 3 green marbles • 4 black marbles • 2 yellow marbles Based on this information, how many yellow marbles could be expected in the box? A) 64 B) 72 C) 88 D) 100

20 is the size of a random sample of 720 marbles.

Notice that 720=20*36

If there are 2 yellow marbles in the sample of 20 marbles, then we can expect:

2*36=72 yellow marbles in the box of 720 marbles

So, B) 72 is the correct answer

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

the photograph is photographer and- in the process- ourselves.

step-by-step explanation: