Use a Venn diagram to find the indicated probability.Suppose P(Y) = 0.31, P(Z) = 0.59, and P(Y ? Z) = 0.67. Find P(Y' ? Z').

A. 0.42
B. 0.44
C. 0.33
D. 0.77


Answer: C

Mathematics

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Solve.A painting was sold in 1985 for $ 1 million. The painting was then resold in 1996 for $ 8 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 1. (Round decimals to three places.)

A. k = 0.189; V(t) = 1e0.189, where V(t) is in millions and t is the number of years after 1985. B. k = 0.173; V(t) = 1e0.173t, where V(t) is in millions and t is the number of years after 1985. C. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1997. D. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1985.

Mathematics

Find the x-intercepts of the graph of each equation.y = (x - 8)(x + 2)

A. (8, 0), (-2, 0) B. (8, 0), (2, 0) C. (-8, 0), (-2, 0) D. (-8, 0), (2, 0)

Mathematics

Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r=4.

Select the correct answer.

Mathematics

Find 78% as a decimal.

A) 0.0078 B) 7.8 C) 0.078 D) 0.78

Mathematics