Find the number of elements in the indicated set by referring to the given table.The table below shows the results of a poll taken in a U.S. city in which people are asked which candidate they intend to vote for in an upcoming presidential election.   Find the number of people in the set O ? (C' ? E')

A. 65
B. 525
C. 27
D. 92


Answer: D

Mathematics

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Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ?  If h(x, y) = f(x)g(y), where f is continuous on [a, b] and g is continuous on [c, d], then ?   where . ? 

A. From the definition follows , so the statement is false.?
B. From the definition follows , so the statement is true.?
C. From the definition follows , so the statement is false.?

Mathematics

Use the given equation to find the missing member of each of the given ordered pairs. Assume the ordered pairs are in the form (x, y).y = -4; (1, ), (3, ), (5, )

A. 4; 4; 4 B. 1; 3; 5 C. 0; 0; 0 D. -4; -4; -4

Mathematics

Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables. ? Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return? ? DENOTE: ? x = amount invested in stock (in millions of dollars) y = amount invested in bonds (in millions of dollars) ?

A.

?


B.

?


C.

?


D.

?


E.

?


Mathematics

The hypotenuse of a right triangle is 13.0, and one leg is 2.0 units shorter than the other. Find the dimensions of the figure (rounded to the nearest tenth).

What will be an ideal response?

Mathematics