A diagnostic test for a certain disease has a sensitivity of 0.82 and a specificity of 0.88. The probability that a patient has the disease is estimated as 0.25. The diagnostic test is given and returns positive. What is the posterior probability that the patient has the disease?

What will be an ideal response?


0.694915

Mathematics

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Solve the problem.Evaluate  at (u, v) = (3, 4) for the function w(x, y, z) = xz + yz - z2; x = uv, y = uv, z = u.

A. 42 B. -6 C. 0 D. 48

Mathematics

Answer the question or give an explanation.Explain the purpose of a balance sheet.

What will be an ideal response?

Mathematics

Translate the problem situation to a system of equations. Do not solve.Anne has 17 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $1.35. How many nickels and how many dimes does she have?

A. x + y = 17; 5x + 10y = 1.35 B. x + y = 17; 5x + 5y = 135 C. x + y = 17; 0.05x + 0.1y = 135 D. x + y = 17; 5x + 10y = 135

Mathematics

Expand the expression using the Binomial Theorem.(x + 1)6

A. x6 + 6x5 +30x4 + 120x3 + 30x2 + 6x + 1 B. x6 + 6x5 + 30x4 + 120x3 + 360x2 + 720x + 720 C. x6 + 6x5 +15x4 + 20x3 + 15x2 + 6x + 1 D. x6 + 6x5 + 15x4 + 20x3 + 15x2 + 6x + 6

Mathematics