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sveticcg [70]
3 years ago
7

Solve the inequality: 12p + 7 > 139

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0
12p + 7 > 139
subtract 7 from both sides
12 p > 132
divide both sides by 12
p > 11

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Step-by-step explanation:

We have these following probabilities.

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If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

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What is the probability that the person has cancer, given that she was diagnosticated?

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P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765

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There is a 12.13% probability that the person actually does have cancer.

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3 years ago
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