Jack wants to know how many families in his small neighborhood of 60 homes would organize a neighborhood fund-raising party. he put all the addresses in a bag and drew a random sample of 30 addresses. he then asked those families if they would organize the fund-raising party. he found that 12% of the families would organize the party. he claims that 12% of the neighborhood families would be expected to organize the party. is this a valid inference? a. no, this is not a valid inference because he asked only 30 families b. no, this is not a valid inference because he did not take a random sample of the neighborhood c. yes, this is a valid inference because he took a random sample of the neighborhood d. yes, this is a valid inference because the 30 families speak for the whole neighborhood

A. No, this is not a valid inference because he asked only 30 families

Step-by-step explanation:

Total families in Jack's neighborhood = 60

Random sample is drawn of 30 families.

Out of 30 families, 12% families would help organize the party.

Now Jack claims that 12% of the neighborhood families would be expected to help organize the party.

This inference is not valid because Jack estimated wrongly. He surveyed 30 families and 12% out of 30 and not 60 families are ready to participate.

He should have inferred that 24% of 60 families are ready to participate.

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

a

step-by-step explanation: