Solve the problem using Bayes' Theorem. Round the answer to the nearest hundredth, if necessary.For mutually exclusive events X1, X2, and X3, let P(X1) = 0.18, 
and 
Also, 
P(Y?X2) = 0.30 and P(Y?X3) = 0.60. Find P(X3?Y).
A. 0.38
B. 0.58
C. 0.16
D. 0.26
Answer: B
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Solve the system of equations using the inverse of the coefficient matrix.2x + 8y + 6z = 204x + 2y - 2z = -23x - y + z = 11
A. x = -1, y = 2, z = 1 B. x = 2, y = 1, z = 6 C. No solution D. x = 2, y = -1, z = 4
Express the radical in simplified form.
A. 4
B. 2 + 
C. Not a real number
D. 2
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0
A. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)
B. ? = 45°
- y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
C. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
D. ? = 45°
+ y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
Evaluate. Assume u > 0 when ln u appears. 
A. 15 ln (e7x + 1) + C
B. 
(e7x + 1)-2 + C
C. 
ln (e7x + 1) + C
D. 
ln (e7x + 1) + C