Before they graduate from great lakes high school, all 12th grade students fill out a survey about their future college plans. are you attending an in-state college after high school graduation? will you begin college during the summer semester? the same group of students are asked to answer yes or no to both questions. the students’ responses were recorded on the table below. attending an in-state college not attending an in-state college begin summer semester 178 21 won't begin summer semester 301 162 determine the probability that a student will begin college during the summer semester and attend an in-state college. determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.

The first answer is 178/662, which simplifies to 89/331.the second answer is 178/479.explanationfor the first question: there are 178 students that answered that they would be attending an in-state college and beginning summer semester, out of a total of 662 students surveyed.for the second question: there are 178 students that answered that they would begin summer semester, out of 479 students that said they were attending an in-state college.

and y≤ -x +4 .

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

y≤ -x +4 .

$79500

step-by-step explanation:

75000÷100=750750×106=79500