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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Evaluate the integral.

A. e6
B. 972
C. 108
D. 108e3

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Use implicit differentiation to find the specified derivative at the given point.Find  at the point (1, -1) for -5xy2 - 7x2y + 4x = 0.

A.
B. 3
C.
D.

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Solve the problem.There are 1,447,966 active dentists living in a certain country. If 79.8% of these dentists are male, find (i) the percent of dentists who are female and (ii) the number of dentists who are female. Round to the nearest whole number.

A. (i) 79.8% female dentists; (ii) 1,155,477 female dentists  B. (i) 20.2% female dentists; (ii) 292,489 female dentists  C. (i) 79.8% female dentists; (ii) 29,248,913 female dentists  D. (i) 20.2% female dentists; (ii) 29,248,913 female dentists 

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Use the Gauss-Jordan method to find A-1, if it exists.A = 

A.

B.

C.

D. Does not exist

Mathematics