Provide an appropriate response.Given that a student correctly uses the following form of Bayes' theorem,P(R1|T) = , make a precise statement about the value of P(R1 ? R2 ? R3).

A. 0 < P < 1
B. 0 ? P ? 1
C. P = 1
D. P = 0


Answer: D

Mathematics

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Find an equation for the sphere with the given center and radius.Center (0, -10, -6), radius = 9

A. x2 + y2 + 9z2 + 20y - 12z = -55 B. x2 + y2 + 9z2 + 20y + 12z = -55 C. x2 + y2 + z2 + 20y + 12z = -55 D. x2 + y2 + z2 + 20y - 12z = -55

Mathematics

Write the quadratic equation in standard form. Determine the values of a, b, and c.2x (x - 9) = (x + 7) (x - 5)

A. - x2 + 20x - 35 = 0 a = -1, b = 20, c = -35 B. x2 - 20x = 35 a = 1, b = -20, c = 35 C. - x2 + 20x = -35  a = -1, b = 20, c = -35 D. x2 - 20x + 35 = 0 a = 1, b = -20, c = 35

Mathematics

Add or subtract as indicated. Write the answer in simplest form.-  + 

A. - 
B. 1
C.
D. - 1

Mathematics

Solve the polynomial equation by factoring.x4 - 18x2 + 32 = 0

A. 16, 2
B. 16, ±
C. ±4, ±
D. 4, 

Mathematics