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2 years ago

An employee shreds 341 pages in 11 minutes of work. How many pages will she shred in 20 minutes?

Mathematics

1 answer:

gavmur [86]2 years ago

6 0

We have been given that an employee shreds 341 pages in 11 minutes of work.

First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

$\text{Pages shred by employee in one minute}=\frac{341}{11}=31$

Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.

$\text{Pages shred by employee in 20 minutes}=31\cdot20=620$

Therefore, employee will shred 620 pages in 20 minutes.

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3 years ago

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Now we use the assumption of independence to claim that

$P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}$

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

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