Use the table to determine the probability. Round your answer to three decimal places if necessary.Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." The results are displayed in the following table.What is the probability that a selected student is a male who is considered a Liberal?

A. 0.418
B. 0.261
C. 0.434
D. 0.394


Answer: B

Mathematics

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Mathematics

The function f is one-to-one. Find its inverse.f(x) =

A. f-1(x) = x - 3
B. f-1(x) = x3 + 9
C. f-1(x) = 
D. f-1(x) = x3 - 3

Mathematics

Find the vertices and the foci of the given ellipse.16x2 + 4y2 = 64

A. V: (-4, 0), (4, 0); 
F: (- 2, 0), (2, 0)
B. V: (0, -4), (0, 4); 
F: (0, - 2), (0, 2)
C. V: (0, -16), (0, 16); 
F: (0, -4), (0, 4)
D. V: (0, 16), (4, 0)
F: (0, 4), (2, 0)

Mathematics

Factor the perfect square trinomial completely.z2 + 8z + 16

A. (z + 8)(z - 8) B. (z + 4)2 C. (z + 4)(z - 4) D. (z - 4)2

Mathematics