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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Calculate the number of subsets and the number of proper subsets for the set.{1, 3, 5, 7, 9, 11}
A. 62; 63 B. 63; 62 C. 63; 64 D. 64; 63
Mathematics
Solve the inequality and write the solution set using interval notation; then graph the solution set on a number line. (b + 7)(b + 4)(b + 2) < 0
A. (-7, -4) ? (-2, ?)
B. (-2, ?)
C. (-?, -4)
D. (-?, -7) ? (-4, -2)
Mathematics
Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 2j, w = 3i + j
A. v1 = 
(3i + j), v2 = - 
i + 
j
B. v1 = 
(3i + j), v2 = 
i + 
j
C. v1 = 
(3i + j), v2 = 
i + 
j
D. v1 = 
(3i + j), v2 = - 
i + 
j
Mathematics
Find the indicated limit, if it exists.
?
?
A. 
B. 
C. 
D. 
E. The limit does not exist.
Mathematics