Suppose you had a telephone directory listing all the businesses in a city, alphabetized by type of business. If you wanted to phone 100 of them to get a representative sampling of opinion on some issue, how would you select which 100 to phone? Why would it not be a good idea to simply use the first 100 businesses listed

Step-by-step explanation:

The best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

Step-by-step explanation:

hope  this helps

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