In the New Your State Numbers Lottery, you pay $1 and pick a number from 000-999. If your number comes up, you win $500, which is a profit of $499. If you lose, you lose $1. Your probability of winning is 0.001. x P(x) $499 0.001 -$1 0.999 What is the expected value of your profit?

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

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c.   x=2.4cm

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similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

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if the probability is 1/12, 75 people will receive a $25 gift card

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