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Ymorist [56]
3 years ago
9

Write the expression -3x ^2 + 2y ^2 + 5xy - 2y + 5x ^2 - 3y ^2 in simplest form. 

Mathematics
1 answer:
malfutka [58]3 years ago
3 0

-3x^2+2y^2+5xy-2y+5x^2-3y^2

Combine like terms:

2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy

There are 4 terms, 2 terms are negative.

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In a large population, 61% of the people are vaccinated, meaning there are 39% who are not. The problem asks for the probability that out of the 4 randomly selected people, at least one of them has been vaccinated. Therefore, we need to add all the possibilities that there could be one, two, three or four randomly selected persons who were vaccinated.

For only one person, we use P(1), same reasoning should hold for other subscripts.

P(1) = (61/100)(39/100)(39/100)(39/100) = 0.03618459
P(2) = (61/100)(61/100)(39/100)(39/100) = 0.05659641
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Adding these probabilities, we have 0.319761. Therefore the probability of at least one person has been vaccinated out of 4 persons randomly selected is 0.32 or 32%, rounded off to the nearest hundredths.
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