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3 years ago

In which quadrant does point W(-3,-9) lie

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

<h2>D. Quadrant III</h2>

Step-by-step explanation:

Quadrant in coordinate geometry is divided into four parts which is called Quadrants.

Quadrants I (x, y)

Quadrants II (-x, y)

Quadrants III (-x, -y)

Quadrants IV (x, -y)

so W(-3, -9) both are negatives so its lie on Quadrants III

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Answer:

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Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

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

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

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

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$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

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$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

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