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The table below summarizes Mendel's results for the [tex]$F_2$[/tex] generation.

Mendel's Results

\begin{tabular}{|l|l|l|}
\hline Plant height & 787 tall & 277 short \\
\hline Flower color & 705 purple & 224 white \\
\hline Pod color & 428 green & 152 yellow \\
\hline Pod shape & 882 inflated & 299 constricted \\
\hline Seed color & 6,022 yellow & [tex]$\times$[/tex] green \\
\hline Seed shape & 5,474 smooth & 2,001 wrinkled \\
\hline
\end{tabular}

What number should replace the letter [tex]$x$[/tex] in the "Seed color" row?

A. 18,066
B. 3,011
C. 207
D. 2,001


Sagot :

To determine the value that should replace the letter [tex]\( x \)[/tex] in the "Seed color" row, we need to understand what [tex]\( x \)[/tex] represents in the context of the question.

Given data:
- Total number of plants observed: 18,066

From the table:
- In the "Seed color" row, the number of yellow seeds is: 6,022
- We need to find the number of green seeds, which is represented by [tex]\( x \)[/tex].

To find [tex]\( x \)[/tex], we can use the fact that the sum of yellow seeds and green seeds must equal the total number of plants observed.

So, we set up the equation:
[tex]\[ 6022 + x = 18066 \][/tex]

To isolate [tex]\( x \)[/tex], we subtract 6,022 from both sides of the equation:
[tex]\[ x = 18066 - 6022 \][/tex]

By performing the subtraction:
[tex]\[ x = 12044 \][/tex]

Therefore, the number that should replace [tex]\( x \)[/tex] in the "Seed color" row is [tex]\( 12,044 \)[/tex].

So, the correct answer is 12,044.
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