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Arada [10]
3 years ago
9

Divide 180 into two parts such that the larger is 16 more than 3 times the smaller. Find the numbers. Please help?

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
Larger: x
smaller: 180 - x

x + 16 = 3 (180 - x)
distribute the 3
x + 16 = 540 - 3x
subtract 16 from both sides
x = 524 - 3x
add 3x to both sides
4x = 524
divide both sides by 4
x = 131 (larger)
180 - 131 = 49 (smaller)


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Step-by-step explanation:

Given:

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a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

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b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

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c) The probability that at most two of the drivers show evidence of intoxication.

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P(x>2) = 1 - P(X ≤ 2)

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Sample size multiplied by sample proportion

n * p

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