Use a proportion to solve each problem. See Examples 4 and...

Name: Problem 35, Chapter 7: Intermediate Algebra
Uploaded: 2020-07-30T15:06:09-08:00
Duration: 1 min
Channel: Cory Kuzinski
Description: Use a proportion to solve each problem. See Examples 4 and 5. To estimate the deer population of a forest preserve, wildlife biologists caught, tagged, and then released 42 deer. A month later, they returned and caught a sample of 75 deer and found that 15 of them were tagged. Based. Based on this experiment, approximately how many deer lived in the forest preserve?

Use a proportion to solve each problem. See Examples 4 and 5. To estimate the deer population of a forest preserve, wildlife biologists caught, tagged, and then released 42 deer. A month later, they returned and caught a sample of 75 deer and found that 15 of them were tagged. Based. Based on this experiment, approximately how many deer lived in the forest preserve?

Use a proportion to solve each problem. See Examples 4 and 5.
To estimate the deer population of a forest preserve, wildlife biologists caught, tagged, and then released 42 deer. A month later, they returned and caught a sample of 75 deer and found that 15 of them were tagged. Based. Based on this experiment, approximately how many deer lived in the forest preserve?

Key Concepts

Proportions

Proportions involve the idea that two ratios or fractions are equal. In problems where some part of the ratio is unknown, setting up an equation of two equivalent ratios allows one to solve for the missing value by equating the cross-products. This approach is widely used in mathematical reasoning and problem solving to maintain a constant relationship between different quantities.

Cross Multiplication

Cross multiplication is a technique used to solve proportions. It involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the resulting products equal to each other. This method simplifies proportional equations and helps in efficiently finding unknown variables.

Population Estimation

Population estimation involves methods used to estimate the total number of individuals in a population when it is impractical to count every single individual. Mathematical and statistical techniques provide estimates based on sample data, and such estimation techniques are essential in fields like ecology, where researchers use systematic sampling methods to infer population sizes.

Capture-Recapture Technique

The capture-recapture technique is a specific method used in population estimation. It involves capturing a number of individuals from a population, marking or tagging them, releasing them, and then later recapturing a new sample. By analyzing the proportion of marked individuals in the second sample, researchers can estimate the total population size. This method relies on assumptions such as the marked individuals mixing evenly with the population and no significant changes in population between samplings.

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