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
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The following table shows the running speed R, in centimeters per second, of ants as a function of the temperature T in degrees Celsius. Based on the regression equation, how would an increase of 5 degrees Celsius affect running speed? T 25.6 30.3 32.3 34.8 R 2.34 3.38 4.68 5.78? ?
A. The ants run 1.90 centimeters per second faster. B. The ants run 1.90 times as fast. C. The ants run 0.38 centimeters per second faster. D. The ants run 0.38 times as fast.
Find the center (h, k) and radius r of the circle with the given equation. (x + 4)2 + (y - 8)2 = 144
A. (h, k) = (-4, 8); r = 144 B. (h, k) = (8, -4); r = 12 C. (h, k) = (-4, 8); r = 12 D. (h, k) = (8, -4); r = 144
Solve the system, using Cramer's rule, if possible. 6x - 3y - z = 9 x - 8y + 3z = -2 7x + y + z = 37
A. {(4, 3, 6)} B. {(-4, 3, 8)} C. {(4, 6, 3)} D. ?
A body assimilates a 16-hour cold tablet at a rate modeled by 
, 
where C is measured in milligrams and t is the time in hours. Use Simpson's Rule with 
style="vertical-align: middle;" data-wiris-created="true" /> to estimate the total amount of the drug absorbed into the body during the 16 hours. A. 34.878 B. 46.878 C. 38.325 D. 54.325 E. 58.878