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3 years ago

Which ordered pair satisfies the system of equations for 3x-y=8 and x+y=2? A.) (3,-1) B.) (2.5,0.5) C.) (2.5,-0.5)(5,-3)

Mathematics

1 answer:

raketka [301]3 years ago

6 0

Answer:

3x - y = 8

y = 3x - 8

y = 3*2.5 - 8 = -0.5 --> (2.5, -0.5)

y = 3*5 - 8 = 7 --> (5, 7)

Answer C is correct.

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Answer:

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Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

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-Set B, for those people that will feel guilty about leaving lights on when not in a room.

The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that $P(A \cap B) = .12.$

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Also, there is a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. So, the probability of a person feeling guilty for only leaving the lights on is PO(B) = 0.27-0.12 = 0.15.

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This is the probability that the person feels guilt for only one of those things, so:

P = PO(A) + PO(B) = 0.27 + 0.15 = 0.42 = 42%

b) What is the probability that a randomly selected person will not feel guilty for either of these reasons

The sum of all the probabilities is always 1. In this problem, we have the following probabilies

- The person will not feel guilty for either of these reasons: P

- The person will feel guilty for only one of those things: PO(A) + PO(B) = 0.42

- The person will feel guilty for both reasons: PB = 0.12

`P + 0.42 + 0.12 = 1

P = 1-0.54

P = 0.46

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