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,   and P(Y?X3) = 0.60. Find P(X1?Y).

A. 0.18
B. 0.13
C. 0.40
D. 0.42


Answer: A

Mathematics

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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log6(x - 5) - log6(x - 2)

A. log6
B. log6(x2 - 7x + 10)
C. log6-3
D. log6

Mathematics

Find the exact value of the indicated trigonometric function of ?.csc ? = - , ? in quadrant IIIFind cot ?.

A. - 
B. - 
C. - 
D.

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Solve the system by the substitution method.x2 + y2 = 21y2 = 2x + 13

A. (2, ), (-4, ), (2, -), (-4, -)
B. (2, ), (-3, ), (2, -), (-3, -)
C. (3, ), (-4, ), (3, -), (-4, -)
D. (2, 3), (-4, 3), (2, -3), (-4, -3)

Mathematics

Use the slope and y-intercept to sketch the graph of the equation.

What will be an ideal response?

Mathematics