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Rudiy27
3 years ago
7

Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form.

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Hi king,

Write 4x^{2}  + 16x - 9 in vertex form:

f(x)=4x^{2}  + 16x - 9

f(x)=4(x+2)^{2} -25

Write 5x^{2} - 10x + 4 in vertex form:

g(x)=5x^{2} - 10x + 4

g(x)=5(x-1)^{2} -1

Have a great day.

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Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo
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Answer:

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

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

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

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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?

So

P(B) is the probability of the person having cancer, so P(B) = 0.009

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So P(A/B) = 0.91

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

What is the probability that the person actually does have cancer?

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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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