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In taking a sampling of 12 marbles, youdiscover that 5 are cat's eyes. If you takeanother sample of 200 marbles, about howmany would you expect to be cat's eyes?English:Proportion: Answer must included answer to proportion

Sagot :

We know that

• From 12 marbles, you discover that 5 are cat's eyes.

This ratio would be

[tex]\frac{12\text{marbles}}{5\text{cat eyes}}[/tex]

So, for 200 marbles we can elaborate a proportion to find the number of cat's eyes we expect.

[tex]\frac{12\text{marbles}}{5\text{ cat eyes}}=\frac{200marbles}{x}[/tex]

Where x represents the cat's eyes. Let's solve for x

[tex]x=\frac{200\cdot5}{12}=\frac{1000}{12}=\frac{500}{6}=\frac{250}{3}\approx83.33[/tex]

Therefore, for 200 marbles there must be 250/3 cat's eyes, or 83 of them, approximately.

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