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Question
the table below summarizes mendels results for the f₂ generation.
mendels results
plant height 787 tall 277 short
flower color 705 purple 224 white
pod color 428 green 152 yellow
pod shape 882 inflated 299 constricted
seed color 6,022 yellow x green
seed shape 5,474 smooth 1,850 wrinkled
what number should replace the letter x in the \seed color\ row?
18,066
3,011
207
2,001
Step1: Identify Mendel's ratio
Mendel's experiments showed a phenotypic ratio of approximately \(3:1\) for dominant to recessive traits in the \(F_2\) generation. So, \(\frac{\text{Yellow (dominant)}}{\text{Green (recessive)}} \approx \frac{3}{1}\).
Step2: Set up the proportion
Let \(x\) be the number of green seeds. We have \(\frac{6022}{x} \approx \frac{3}{1}\). Solving for \(x\), we get \(x \approx \frac{6022}{3}\).
Step3: Calculate the value
\(\frac{6022}{3} \approx 2007.33\). The closest option to this value is \(2001\).
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