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Answer :
Final answer:
The student's question involves using proportions to estimate a population based on a sample. We used the formula (100/sample)*total and applied it to each given situation. The results vary based on differing sample sizes. The concept represents an application of ratios and proportions in a practical situation.
Explanation:
The topic at hand is the use of proportions to estimate the total population of animals in a park. Below are the results of the estimations given the data you provided:
- For 23 out of 100 animals tagged, the total population is estimated to be (100/23)*100 = 434
- For 12 out of 100 animals tagged, the total population is estimated to be (100/12)*100 = 833
- For 8 out of 116 animals tagged, the total population is estimated to be (100/8)*116 = 1450
- For 5 out of 63 animals tagged, the total population is estimated to be (100/5)*63 = 1260
- For 4 out of 83 animals tagged, the total population is estimated to be (100/4)*83 = 2075
- For 3 out of 121 animals tagged, the total population is estimated to be (100/3)*121 = 4033
- For 83 out of 125 animals tagged, the total population is estimated to be (100/83)*125 = 150.6
- For 7 out of 165 animals tagged, the total population is estimated to be (100/7)*165 = 2357
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