A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.91. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.02. It is estimated that 2% of the population who take this test have the disease.

If an individual takes the test twice and both times the test is positive, what is the probability that the person actually has
the disease?

a. 0.481
b. 0.980
c. 0.023
d. 0.519
e. 0.977


e. 0.977

Mathematics

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Determine whether f is a linear function. If f is linear, give the values for m and b so that f may be expressed as .f(x) = -12x

A. Linear; m = - , b = 0
B. Linear; m = 12, b = 1
C. Linear; m = -12, b = 0
D. Nonlinear

Mathematics

Use a proportion to solve the problem.A building casts a shadow 39 m long. At the same time, the shadow cast by a 41-cm tall pole is 53 cm long. Find the height of the building. Round your answer to the nearest tenth of a meter.

A. 48.9 m B. 50.4 m C. 28.7 m D. 30.2 m

Mathematics

Solve the problem.In Antarctica, the high temperatures for the last four days have been 17.2°F, 5.6°F,  and  What is the average high temperature for this  period?

A. 8.65°F B. 9.25°F C. 9.9°F D. 7.27°F

Mathematics

Solve the linear inequality. Express the solution in set-builder notation.-4(2x + 12) < -12x - 36

A. {x|x > 3} B. {x|x > -12} C. {x|x < -12} D. {x|x < 3}

Mathematics