There are 20 children in a class, and 12 of the children are girls. Of the girls, 8 brought a lunchbox, and of the boys 6 did NOT bring a lunchbox. If a child from the class is chosen at random, what is the probability that the child brought a lunchbox?

The probability of where the child brought the lunchbox is  .

Given that,

There are 20 children.

in which 12 are girls.

And, the remaining are of boys i.e. = 20 -12 = 8 boys.

8 girls brought a lunch box so it means 4 girls do not bring a lunch box.

6 boys do not bring a lunch bo so it means 2 boys bring a lunch box.

So, the probability should be

Therefore we can conclude that the probability of where the child brought the lunchbox is  .

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The probability that a child chosen at random brought lunch box is 1/2

Total number of children in class = 20

Number of girls = 12

Number of boys = total number - number of girls

Number of boys = 20 - 12 = 8

Number of girls who brought lunch box = 8

12 - 8 = 4 girls did not bring lunch box

Number of boys who brought lunch box :

(Number of boys - number of boys who did not bring  lunch box)

(8 - 6) = 2 boys brought  lunch box

Total number of children who brought lunch box :

(8 + 2 ) = 10 children

Probability that a child chosen at random brought lunch box :

P(brought lunch box) :

(Number of children who did brought lunch box / total number of children)

P(brought lunch box) = 10 / 20 = 1 /2

The probability that a child chosen at random brought lunch box is 1/2

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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

$79500

step-by-step explanation: