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Home » Thus, the area of the path is \(\boxed44\pi\) square meters. - Blask

Thus, the area of the path is \(\boxed44\pi\) square meters. - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Corrected total: 10.8 + 0.65 = <<10.8+0.65=11.45>>11.45.

📌 Corrected average: 11.45 / 15 = <<11.45/15=0.7633>>0.7633 (rounded to four decimals, but kept precisely for accuracy).

📌 #### 0.7633

📌 An entomologist tags 200 bees in a hive to study pollination patterns. The next day, she captures 180 bees and finds that 36 of them are tagged. Using the capture-recapture method, estimate the total bee population in the hive, assuming equal probability of capture and no population changes.

📌 Let N be the total population. The proportion of tagged bees in the second sample should approximate the proportion in the whole population: 200 / N = 36 / 180.

📌 Simplify: 36 / 180 = <<36/180=0.2>>0.2.

📌 So, 200 / N = 0.2 → N = 200 / 0.2 = <<200/0.2=1000>>1000.

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