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Scientists captured, tagged, and released 4747 ducks as part of a research study. A week later, the scientists returned to the area and found 2323 tagged ducks out of the 230230 ducks they counted. To the nearest whole number, what is the best estimate for the duck population?

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Estimate population size using proportionsright chevron icon

Full solution

Q. Scientists captured, tagged, and released 4747 ducks as part of a research study. A week later, the scientists returned to the area and found 2323 tagged ducks out of the 230230 ducks they counted. To the nearest whole number, what is the best estimate for the duck population?
  1. Identify Proportion: Step 11: Identify the proportion of tagged ducks to total ducks in the second observation.
  2. Calculate Proportion: Step 22: Calculate the proportion from the first observation.
  3. Set Proportions Equal: Step 33: Set the two proportions equal to each other and solve for xx.
  4. Complete Calculation: Step 44: Complete the calculation to find xx.

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