Decide whether or not the events are mutually exclusive.Events A and B defined as followsA card is drawn at random from a deck of cards. Event A is that the card obtained is a face card and B is the event that the card obtained is a two.

A. No
B. Yes


Answer: B

Mathematics

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Decide whether the argument is an example of inductive or deductive reasoning.If (-p)2 = p2, then (-9)2 = 81

A. Deductive B. Inductive

Mathematics

Use Pascal's triangle to expand the binomial.(x - 5y)5

A. x5 - 25x4y + 500x3y2 - 2500x2y3 + 3125xy4 - 5y5 B. x5 - 25x4y + 250x3y2 - 1250x2y3 + 3125xy4 - 3125 C. x5 - 25x4y + 500x3y2 - 2500x2y3 + 3125xy4 - 3125y5 D. x5 - 25x4y + 250x3y2 - 1250x2y3 + 3125xy4 - 3125y5

Mathematics

Set up the linear programming problem.The Jillson's have up to $75,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 6% and that no more than $20,000 should be invested in more volatile bonds yielding 12%.(a) Using x to denote the amount of money invested in the stable bonds and y the amount invested in the more volatile bonds, write a system of linear inequalities that describes the possible amounts of each investment.(b) Graph the system and label the corner points. 

What will be an ideal response?

Mathematics

Perform the operation indicated. Simplify. +  + 

A.
B.
C.
D.

Mathematics