The equation that represents the situation will be (0.75x) + 0.8(x + 10) = 101
<h3>How to compute the equation?</h3>
From the information, Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them.
Therefore the equation that represents the situation will be:
= (0.75 × x) + 0.8(x + 10) = 101
= 0.75x + 0.8(x + 10) = 101.
Therefore, the equation that represents the situation will be (0.75x) + 0.8(x + 10) = 101
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Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that 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.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that 
A day care program has capacity for 8 children in that age range.
This means that 
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).


0.337 = 33.7% probability that one of the eight children has a food allergy.
Answer:

Step-by-step explanation:
The standard form for the equation of a circle is
where r is the radius, and the center is (h, k).
(h, k) = (-1, 2), r = 7
