Find the least common multiple.

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

natita [175]

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.

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

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

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

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?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.91*0.009}{0.0675} = 0.1213$

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

3 0

2 years ago

4b3 + 5c? Combine any like terms. If there are no like terms, rewrite the expression

sashaice [31]

There are no like terms in this expression

8 0

3 years ago

Read 2 more answers

Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?

Strike441 [17]

For this case we have that the original point is given by:
B = (7, 2)
As the point is reflected through the x axis, then we have the following transformation:
(x, y) --------------> (x, -y) -------------> (x ', y')
Applying the transformation to the original ordered pair we have:
(7, 2) --------------> (7, - (2)) -------------> (7, -2)
Answer:
Point B 'is given by:
B '= (7, -2)

8 0

3 years ago

Read 2 more answers

Guadalupe has 13 bulbs to make a string of holiday lights. How many distinct arrangements can she make if she has 4 red bulbs, 4

Margarita [4]

Answer:

It depends

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, it depends how many lights she needs per arrangement.

Comment below if it is mentioned but you didn't include it.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

8 0

2 years ago

A glass containing water is in the shape of a right circular cylinder with a radius of 3

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

The equation for a cylinder is the radius of the circle times pi squared, multiplied by the height. 3 squared is 9, times pi is 9(pi). If we multiply this by the height, the answer is 90(pi) centimeters in volume.

5 0

3 years ago