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A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.

Sample 1 4
Sample 2 1
Sample 3 9
If the sheep were equally "spread out" across all of the 40 acres, how many sheep would you expect to find on average on each acre?

Respuesta :

Answer:

0.16 Acres per sheep

Step-by-step explanation:

Since there are 40 acres spread upon 250 sheep, you would divide the acres by the number of sheep. Make an equation

40/250 =....

facundo3141592

We want to see how many sheep we should expect to see, on average, in each acre.

We will see that the theoretical result is 62.5 sheep per acre.

Theoretical approach:

If we assume that the sheep are equally distributed, to see how many sheep there are in each acre we just divide the number of sheep by the number of acres:

250/40 = 62.5

This means that, on average, there are 62.5 sheep (between 62 and 63) in each acre.

This is an idealized result, to get a more correct answer we should have the samples and from them compute the average number of sheep, and that would be an experimental approach.

If you want to learn more about averages, you can read:

https://brainly.com/question/10606467

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