The manager in our school cafeteria is concerned about students who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the
cup with water. The manager selected a random sample of 80 students who asked for a water cup
when placing an order and found that 23 of those customers filled the cup with a soft drink from
the beverage fountain
• (a) Construct and interpret a 95 percent confidence interval for the proportion of all
students who, having asked for a water cup when placing an order, will fill the cup with a
soft drink from the beverage fountain.
The manager estimates that each student who asks for a water cup but fills it with a soft drink
costs the school cafeteria $0.25. Suppose that in the month of January 500 students ask for a
water cup when placing an order.
• (b) Use the confidence interval constructed in part (a) to give an interval estimate for the
cost to the restaurant for the month of January from the customers who ask for a water
cup but fill the cup with a soft drink.

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 it is b and c. (side note, i got the same computer from k-12 lol i’m in 8th grade and this is my first year, will it get

step-by-step explanation:

step-by-step explanation:

i'm not sure how to show the work for this

answer : c and d or 4(29 + 6)

4(29) + 4(6)