The incidence of breast cancer varies depending on a woman's age. the national cancer institute gives the following probabilities for a randomly chosen woman in her 40s who takes a mammography to screen for breast cancer:

what percent of women in their 40s taking a screening mammography receive a positive test result?

a. 97%
b. 13.96%
c. 11.68%
d. 2.28%

if a randomly chosen woman in her 40s taking the mammography screening test gets a positive test result, the probability that she indeed has breast cancer is the positive predicted value, ppv = p(cancer | positive test). the ppv for this age group is

a. 0.8368.
b. 0.1632.
c. 0.85.
d. 0.0268.

Answer

The answer and procedures of the exercise are attached in the following archives.  

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions