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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Answer the given question.Where are all points whose first and second coordinates have the opposite signs?
A. In first or third quadrant B. In first or fourth quadrant C. In second or third quadrant D. In second or fourth quadrant
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 59; at (2, 5) B. Maximum: 70; at (10, 0) C. Maximum: -28; at (4, 0) D. Maximum: 42; at (6, 0)
Find a formula for the nth term of the sequence.0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)
A. an = 1 - (-1)n(n-1) B. an = 1 + (-1)n(n+1) C. an = 1 + (-1)n(n-1) D. an = 1 + (-1)n(n + 1)/2
Provide an appropriate response.Solve the inequality: 3x - 7x ? 20
A. x ? -5 B. x ? 5 C. x ? 5 D. x ? -5