The manager is checking the results of the customer satisfaction surveys. The ones he has looked at have scores of 79%, 92%, 71%, and 86%. What score must be on the next survey to have a mean average of exactly 85% for the five surveys?

97%

Step-by-step explanation:

for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.

so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.

therefore we need to find x

(79 + 92 + 71 + 86 + x) / 5 = 85

as the sum of all numbers divided by the number of measurements is the mean value.

and so,

79 + 92 + 71 + 86 + x = 425

328 + x = 425

x = 97

so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%

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

$79500

step-by-step explanation: