Solve the problem.A survey of 125 college students was done to find out what elective courses they were taking. Let A = the set of those taking art, B = the set of those taking basketweaving, and C = the set of those taking canoeing. The study revealed the following information.n(A) = 45 n(A ? B) = 12n(B) = 55 n(A ? C) = 15n(C) = 40 n(B ? C) = 23n(A ? B ? C) = 2How many students were not taking any of these electives?
A. 43
B. 35
C. 33
D. 10
Answer: C
Mathematics
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Solve the problem.The ellipse +
= 1 is shifted horizontally and vertically to obtain the ellipse
+
= 1.Find the center and vertices of the new ellipse.
A. Center: (-3, 4); Vertices: (-28, 4), (22, 4) B. Center: (4, -3); Vertices: (-28, 4), (22, 4) C. Center: (-3, 4); Vertices: (4, -28), (4, 22) D. Center: (4, -3); Vertices: (4, -28), (4, 22)
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Use a calculator to evaluate the expression, or state that the value does not exist. Round the answer to four decimal places when necessary.tanh-1 3
A. 0.3466 B. 0.9951 C. does not exist D. 1.005
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Find the limit.
A. -1
B.
C. 1
D. No limit
Mathematics