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3 years ago

(x+1)^2-(x-1)^2 dont kbow what to do

Mathematics

1 answer:

marshall27 [118]3 years ago

6 0

Use this formula a2 − b2 = (a + b)(a − b)

(x+1)^2-(x-1)^2 in this case, a = x+1, b = x-1

= [(x+1) + (x-1)] * [(x+1) – (x-1)]

=(x +1 + x – 1) *(x +1 – x +1)

= 2x * 2

=4x

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The vessels are destroyed and then not replaced, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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N is the size of the population.

n is the size of the sample.

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Combinations formula:

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In this question:

Fleet of 18 means that $N = 18$

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9 are destroyed, which means that $n = 9$

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This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687$

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