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The table below shows the data for a random sample of fish that were collected from and later released into a lake: type of fish catfish grass carp bluegill number of fish 52 61 87 how many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? 148 174 244 348

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meerkat18
You were given the data as statistics so that you can predict the number of a certain type of fish through ratio and proportion. The main focus here is then number of bluegill fish. From the given statistics, the number is 87. The total number of fishes at that time was 52+61+87 = 200. So, assuming that this composition is uniform in the said lake. We can then use the ratio from the given statistics to know the proportion of bluegills to the total fishes. Hence, we equate the two ratios:

87/200 = x/800

where x is the number of bluegills among the 800 total fishes that is in proportion to the gathered statistics. Solving for x, we determine the answer to be

x = 348

Using proportions, it is found that 348 bluegills are estimated to be present if a sample of 800 fish is collected from the lake.

What is a proportion?

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, out of 52 + 61 + 87 = 200 fish, 87 are bluegills. How many are bluegills out of 800?

The rule of three is:

87 bluegills - 200 fish

x bluegills - 800 fish

Applying cross multiplication:

[tex]200x = 800(87)[/tex]

[tex]x = \frac{800(87)}{200}[/tex]

[tex]x = 348[/tex]

348 bluegills are estimated to be present if a sample of 800 fish is collected from the lake.

More can be learned about proportions at https://brainly.com/question/24372153

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