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. tan-1   +  C
B. sin-1   +  C
C. sin-1   +  C
D. tan-1   +  C

Mathematics

Provide an appropriate response.Find the value and simplify: 4-1/2

Fill in the blank(s) with the appropriate word(s).

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The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring.How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $50 and on an SST ring is $40?

A. 10 VIP and 14 SST B. 20 VIP and 4 SST C. 12 VIP and 12 SST D. 14 VIP and 10 SST

Mathematics

Solve.Physicists studying gravitational potential energy may use the expression -G ? M ? m ? , where G is the gravitational constant, M and m are the respective masses of two objects, and r is the distance between them. Rewrite as a single rational expression.

A.
B. - 
C.
D. - 

Mathematics