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Britney keeps track of the populations of various creatures near a lake. In order to estimate the dragonfly population, she captures 1,4001,400 dragonflies and marks them with special paint. She releases them, waits a few days, and then captures 620620 dragonflies. She notices that 6262 of these dragonflies are marked. To the nearest whole number, what is the best estimate for the dragonfly population?

Full solution

Q. Britney keeps track of the populations of various creatures near a lake. In order to estimate the dragonfly population, she captures 1,4001,400 dragonflies and marks them with special paint. She releases them, waits a few days, and then captures 620620 dragonflies. She notices that 6262 of these dragonflies are marked. To the nearest whole number, what is the best estimate for the dragonfly population?
  1. Set up proportion: Step 11: Set up the proportion based on the capture-recapture method.
  2. Solve for DD: Step 22: Solve the proportion by cross-multiplying to find DD.
  3. Calculate estimated population: Step 33: Calculate the estimated population.

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