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25 people went on a fishing trip

17 people did not catch a mackerel
of the people who caught a mackerel, 3 people did not catch a trout
6 people caught neither a mackerel nor trout
calculate the values that should replace A, B and C in the frequency tree below

1 Answer

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Final answer:

In mathematics, to fill a frequency tree with given data, we subtract and add the relevant quantities provided to find the unknowns. In this case, values A, B, and C in the frequency tree are 3, 5, and 11 respectively, after calculating based on the given statistics from the fishing trip.

Step-by-step explanation:

The subject of this question is Mathematics, specifically involving the use of a frequency tree. To calculate the values that should replace A, B, and C in the frequency tree, one must understand the problem given, which consists of a group of 25 people on a fishing trip and various fish they caught or did not catch.

So first, let's identify the given information:

Of the people who caught a mackerel, 3 people did not catch a trout (which means 8 - 3 = 5 people caught both a mackerel and a trout).

C: Number of people who caught only a trout.

Therefore, the values we need to replace in the frequency tree are A = 3, B = 5, and C = 11.

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