The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table: Too Small Too Large Total
Low Income 19 21 40
High Income 19 16 35
Total 38 37 75

Based on this data:
a. The proportion of all children that drew the nickel too small is:

Assume that this proportion is true for ALL children in an entire population (e. g. that this proportion applies to any group of children), and that the remainder of the questions in this section apply to selections from the population of ALL children.

b. If 5 children are chosen, the probability that exactly 3 would draw the nickel too small is:
c. If 5 children are chosen at random, the probability that at least one would draw the nickel too small is:
d. If 100 children are chosen at random, it would be unusual if more than drew the nickel too small

their is no graph showing

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

d will be the best answer