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Answer:
It think this should be the complete question: Laws have been instituted in Florida to help save the manatee.To establish the number of manatees in Florida, 150 manatees were tagged. A new sample was taken later, and among the 40 manatees in the sample, 3 were tagged. Approximate the number of manatees in Florida.
The approximate number of manatees in Florida is 2,000
Step-by-step explanation:
To solve this problem, we will use the formula
N= (C*R)/M
Where N is the toal estimated population
C is the total first capture
R is the total recapture after the first
M is the total tagged from recapture
Thus, we have:
N = (150*40)/3
N = 6000/3
N= 2,000
So, the approximate manatee is [tex]2000[/tex].
Ratio and Proportion:
Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of [tex]a:b[/tex], then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science. the proportion is represented by,
[tex]\frac{a}{b}=\frac{c}{d}[/tex].
Let us assume [tex]x[/tex] represents the unknown observed manatee, which is actually total manatees so the proportion is,[tex]\frac{40}{3}=\frac{x}{150}[/tex].
Now, cross multiplying the given proportion as,
[tex]3x=40\times 150\\x=\frac{40\times 150}{3} \\x=2000[/tex]
Learn more about the topic Proportion: https://brainly.com/question/24320792
