approximately 55% of high school students participate in athletic programs. if we choose 5 high school students at random, what is the probability that at least one of them

98.15% probability that at least one of them participate in athletic programs.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they participate in athletic programs, or they do not. The probability of a student participaing in an athletic program is independent of other students, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

55% of high school students participate in athletic programs.

This means that

5 high school students

This means that

What is the probability that at least one of them participate in a athletic program?

Either none participate, or at least one of them does. The sum of the probabilities of these events is 1. So

We want .

In which

98.15% probability that at least one of them participate in athletic programs.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

your answer is the frist one

hop i