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matrenka [14]
4 years ago
14

8x-6y=-20 -16x+7y=30

Mathematics
1 answer:
o-na [289]4 years ago
8 0
<span>Simplifying 8x + -6y = -20

</span><span>Solving 8x + -6y = -20

</span><span>Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right

</span><span>Add '6y' to each side of the equation. 8x + -6y + 6y = -20 + 6y

</span><span>Combine like terms: -6y + 6y = 0 8x + 0 = -20 + 6y 8x = -20 + 6y
</span>
Divide each side by '8'. x = -2.5 + 0.75y


<span>Simplifying x = -2.5 + 0.75y</span>

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Find the missing probability.
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The value of the missing probability is:

P(A) = 1/5

So the correct option is D.

<h3>How to find the missing probability?</h3>

First, we know that:

P(A∩B) = probability that events A and B are true = 3/100

And we also know that:

P(B|A) = probability that event B is true given that event A is true = 3/20

Here we have the rule:

P(A∩B) = P(B|A)*P(A)

Replacing the first two:

3/100 = (3/20)*P(A)

Solving for P(A), we get:

(3/100)*(20/3) = 1/5 = P(A).

So we conclude that the correct option for the missing probability is the one in option D.

If you want to learn more about probability:

brainly.com/question/25870256

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