if there are 33 marked whales,
235 intotal whales counted,
and 20 marked whales counted
what is the best estament of whale population?
To estimate the whale population, we can set up a proportion based on the marked whales.
The ratio of marked whales to the total sampled whales should be the same as the ratio of marked whales in the entire whale population to the estimated total whale population.
Let's set up the proportion using the given information:
Marked whales / Total sampled whales = Marked whales in the entire population / Estimated total whale population
Substituting the values:
33 marked whales / 235 total whales = 20 marked whales in the entire population / Estimated total whale population
Now, cross-multiply to solve for the estimated total whale population:
33 * Estimated total whale population = 235 * 20
Divide both sides by 33 to isolate the Estimated total whale population:
Estimated total whale population = (235 * 20) / 33
Using a calculator:
Estimated total whale population ≈ 141.818
Therefore, the best estimate for the whale population is approximately 141 whales.
11
194
9
Using the same proportion set up:
Marked whales / Total sampled whales = Marked whales in the entire population / Estimated total whale population
Substituting the new values:
11 marked whales / 194 total whales = 9 marked whales in the entire population / Estimated total whale population
Cross-multiplying:
11 * Estimated total whale population = 194 * 9
Dividing both sides by 11:
Estimated total whale population = (194 * 9) / 11
Calculating:
Estimated total whale population ≈ 158.36
Therefore, the best estimate for the whale population is approximately 158 whales.
wrong
Apologies for the incorrect response. Let's recalculate using the given values:
Marked whales = 33
Total whales counted = 235
Marked whales counted = 20
We can set up the proportion:
Marked whales / Total counted whales = Marked whales in the entire population / Estimated total whale population
Substituting the values:
33 / 235 = 20 / Estimated total whale population
Cross-multiplying:
33 * Estimated total whale population = 235 * 20
Dividing both sides by 33:
Estimated total whale population = (235 * 20) / 33
Calculating:
Estimated total whale population ≈ 142.42
Therefore, the best estimate for the whale population is approximately 142 whales.
16
81
12
Using the given values:
Marked whales = 16
Total whales counted = 81
Marked whales counted = 12
Setting up the proportion:
Marked whales / Total counted whales = Marked whales in the entire population / Estimated total whale population
Substituting the values:
16 / 81 = 12 / Estimated total whale population
Cross-multiplying:
16 * Estimated total whale population = 81 * 12
Dividing both sides by 16:
Estimated total whale population = (81 * 12) / 16
Calculating:
Estimated total whale population ≈ 60.75
Therefore, the best estimate for the whale population is approximately 61 whales.