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3 years ago

Please help! Find the missing

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

x = 13

Step-by-step explanation:

Here, we want to get the missing side

from what we have, the triangle is a right angled triangle

In this kind of triangle, the Pythagoras’ theorem works

The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides

We have this as;

x^2 = 5^2 + 12^2

x^2 = 25 + 144

x^2 = 169

x = √169

x = 13

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Answer:

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Step-by-step explanation:

The cereals are chosen without replacement, 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:

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

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

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This is P(X = 2). So

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$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

0.2333 = 23.33% probability that both of them have the secret decoder ring

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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