Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438
B. 0.487
C. 0.91
D. 0.856


Answer: B

Mathematics

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Subtract in the indicated base.101two - 11two

A. 101two B. 1two C. 10two D. None of the above

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Express the sum or difference as a product.cos 4x + cos 2x

A. 2 sin 3x sin x B. 2 cos 3x sin x C. 2 cos 3x D. 2 cos 3x cos x

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Solve.When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 216 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 54 cubic inches.

A. 52 pounds per square inch
B.  pounds per square inch
C. 42 pounds per square inch
D. 56 pounds per square inch

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Divide and write the answer in simplest form.-1.2 ÷ 0.06

A. -20 
B. -1.14 
C.
D. -11.4 

Mathematics