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Karo-lina-s [1.5K]

3 years ago

10

Timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2.

How does the graph of g(x) compare to the graph of f(x)?

1 answer:

skelet666 [1.2K]3 years ago

8 0

The graph lines stay the same, however the y-intercept changes from (-1,0) to (-2,0), since it is now g(x) = x - 2, instead of f(x) = x - 1.

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Determine if the events A and B are independent. Show all steps.

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<u><em></em></u>

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<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

<u><em>Step(iii):-</em></u>

<u><em></em></u> $P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{3}{5} - \frac{2}{25}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$ <u><em></em></u>

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