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densk [106]
2 years ago
13

4.06 Question 1

Mathematics
1 answer:
Dima020 [189]2 years ago
4 0

Answer:

Answer:

The points which represents a the solution are: <u>A, C, D and K</u>

<u>Step-by-step explanation:</u>

See the attached figure.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2), F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

=========================================

<u>Note:</u>

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

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Step-by-step explanation:

-4(-9p + -3) +2(-2p + 6)

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Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

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This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

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