Solve the problem.Given that P(A) = 0.69, P(A ? B) = 0.83, and P(A ? B) = 0.36, find P(B).

A. 0.86
B. 0.14
C. 0.5
D. 0.33


Answer: C

Mathematics

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Name the conic (horizontal ellipse, vertical hyperbola, and so on) corresponding to the given equation. +  = 0

A. Horizontal hyperbola B. Vertical hyperbola C. Vertical parabola D. Horizontal parabola

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Ms. Bailey consumed 1770 cc of liquid during a 24-hour period. Her urine output was measured to be 250 mL, 125 mL, 150 mL, 200 mL, and 275 mL. Determine her fluid balance or imbalance.

A. 70 cc more intake than output B. 770 cc more output than intake C. 70 cc more output than intake D. 770 cc more intake than output

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Find the flux of the vector field F across the surface S in the indicated direction.F = 3xi + 3yj + zk; S is portion of the plane x + y + z = 1 for which 0 ? x ? 4 and  direction is outward (away from origin)

A. 24 B. 22 C. - 16 D. 48

Mathematics

Provide an appropriate response.Determine whether the graphs of 5x - y = - 10 and y = x + 15 are parallel lines, perpendicular lines, or neither.

A. parallel B. neither C. perpendicular

Mathematics