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goblinko [34]
2 years ago
6

Which point is a solution to the system of inequalities graphed here? y ≤ 2x + 2

Mathematics
2 answers:
mina [271]2 years ago
7 0
The answer is d. (5,2)
Because if you plug to coordinate in both inequalities you will get a true response
Vlad [161]2 years ago
6 0

Answer:

D) (5,0)

Step-by-step explanation:

-5x + 4 ≤ y

-25 + 5 ≤ 0

-20 ≤ 0

y ≤ 2x + 2

0 ≤ 2(5) + 2

0 ≤ 27

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Read 2 more answers
suppose the probability of someone having a reaction to a medication is 0.025 what is the probability of two out of tree people
s344n2d4d5 [400]

Answer:

0.0018 = 0.18% probability of two out of tree people having a reaction.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a reaction, or they do not. The probability of a person having a reaction is independent of any other person. This means that the binomial probability distribution is used 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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability of someone having a reaction to a medication is 0.025.

This means that p = 0.025

What is the probability of two out of tree people having a reaction?

This is P(X = 2) when n = 3. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.025)^{2}.(0.975)^{1} = 0.0018

0.0018 = 0.18% probability of two out of tree people having a reaction.

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3 years ago
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