Solve the problem. Use a Venn diagram to find your answer.The subsets A, B, and C of the universe U satisfy the following conditions:n(U) = 202n(A) = 68n(B) = 88n(A ? B) = 29n(A ? C) = 32n(A ? B ? C) = 15n( ? B ? ) = 44n( ?  ? ) = 51Find

n(C).



A. 40

B. 24

C. 41

D. 71


Answer: D

Mathematics

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Use Webster's method to find the apportionment.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table.Find the apportionment for state D using Webster's method.

A. 25 B. 24 C. 26 D. 23

Mathematics

Use synthetic division to find the quotient and the remainder.x5 + 9x4 + 21x3 + 20x2 + 9x - 15 is divided by x + 6

A. x4 + 3x3 + 3x2 + 2x + 3; remainder 5 B. x4 + 3x3 + 3x2 + 2x + 3; remainder 0 C. x3 + 3x2 + 3x + 2; remainder 3 D. x4 + 3x3 + 3x2 + 2x - 3; remainder 3

Mathematics

Solve. Express any nonreal complex numbers with i notation.5x4 = 38x2 + 63

A. x = ± 
B. x = ±  , x = ± 3
C. x =± , ± 3
D. x = ± 3

Mathematics

Add or subtract as indicated. Simplify the result whenever possible. Write any answer that contains an improper fraction as a mixed number. +  + 

A.
B.
C.
D.

Mathematics