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Sagot :
Given:
marked walleye counted = 16
total walleye counted = 160
total marked walleye = 200
Let the estimated walleye population be x
To find x, we would use the ratio comparison:
[tex]\frac{marked\text{ walleye counted}}{total\text{ walleye counted}}\text{ = }\frac{total\text{ marked walleye}}{estimated\text{ walleye population}}[/tex]Substituting the given values:
[tex]\frac{16}{160}\text{ = }\frac{200}{x}[/tex]Cross-multiply
[tex]\begin{gathered} 16\text{ }\times\text{ x = 160 }\times\text{ 200} \\ 16x\text{ = 32000} \\ Divide\text{ both sides by 16} \\ \text{x = }\frac{32000}{16} \\ x\text{ = 2000} \end{gathered}[/tex]Hence, the best estimate for the walleye population is 2000 (Option A)
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