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Zhang lei tracked the size of the bear population in a nature reserve. the first year, there were 1000 10001000 bears. sadly, the population lost 10 % 10 , percent of its size each year. let f ( n ) f(n)f, left parenthesis, n, right parenthesis be the number of bears in the reserve in the n th n th n, start superscript, start text, t, h, end text, end superscript year since zhang lei started tracking it. f

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Final answer:

The mark and recapture technique is used by biologists to estimate the size of animal populations. By comparing the ratio of marked to unmarked individuals between two captures, the total population size can be estimated using the formula N = (M × C) / R. In this case, the estimated size of the lemur population is 132 individuals.

Step-by-step explanation:

The mark and recapture technique is a method used by biologists to estimate the size of animal populations. It is based on the idea that the ratio of marked to unmarked individuals in a sample is representative of the ratio in the entire population. Using the formula N = (M × C) / R, where N is the estimated population size, M is the number of marked individuals in the second capture, C is the total number of individuals in the second capture, and R is the number of marked individuals in the first capture that are recaptured in the second capture, you can calculate the population size.

In this case, the number of marked individuals in the first capture is 37, and the number of marked individuals in the second capture that are recaptured is 11. The total number of individuals in the second capture is 49. Plugging these values into the formula, you can determine the estimated size of the lemur population, rounded to the nearest whole number.

The estimated size of the lemur population is 132 individuals.

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