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galina1969 [7]
3 years ago
9

Can someone help me with algebraic method

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

<em>x = -8; y = 0</em>

Step-by-step explanation:

x + 2y = -8

3x - 4y = -24

We will use the substitution method.

Solve the first equation for x.

x = -8 - 2y

Replace x of the second equation with <em>-8 - 2y</em>, and solve for y.

3<em>x</em> - 4y = -24

3<em>(-8 - 2y)</em> - 4y = -24

-24 - 6y - 4y = -24

-24 - 10y = -24

-10y = 0

y = 0

Now we substitute 0 for y in the first original equation and solve for x.

x + 2y = -8

x + 2(0) = -8

x + 0 = -8

x = -8

Solution: x = -8; y = 0


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Problem 1: Given the following probabilities P(Ac) = 0.45, P(B) = 0.34, and P(B|A) = 0.23. Find the following probabilities:
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Answer:

P(A)=0.55

P(A and B)=P(A∩B)=0.1265

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Step-by-step explanation:

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P(B|A)=(P(A∩B))/P(A)

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P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721

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