Sharon runs a day care center. Of the last 10 children to enroll at the day care center, 4 of them have been preschoolers. What is the experimental probability that the next child to enroll will be a preschooler?

The experimental probability that the next child to enroll will be a preschooler is 40%

P(E) = 40%

Step-by-step explanation:

What is Experimental Probability?

Experimental probability is basically the ratio of the number of outcomes occurred to the total number of trials in an actual experiment.

In this problem we are given that out of the last 10 children to enroll at the day care center, there are 4 children who belong to the category of preschoolers.

We are asked to find the experimental probability that the next child to enroll will be a preschooler.

The required experimental probability is given by

Where number of desired outcomes are 4 and total number of outcomes are 10

So the probability is

Therefore, the experimental probability that the next child to enroll will be a preschooler is 40%

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent