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valina [46]
3 years ago
13

How do you write 1.25 as a fraction or mixed number in simplest form

Mathematics
1 answer:
amm18123 years ago
5 0
1.25=1+0.25=1+\dfrac{25}{100}=1+\dfrac{25:25}{100:25}=1+\dfrac{1}{4}=\boxed{1\frac{1}{4}}
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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.

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k is the total number of desired outcomes.

Combinations formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

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

What is the probability that both of them have the secret decoder ring?

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

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