Answered

\begin{tabular}{|c|c|c|c|}
\hline & Flock X & Flock Y & Flock Z \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 123 & 99 & 78 \\
\hline Food Percentage & [tex]$\square \%$[/tex] & [tex]$\square \%$[/tex] & [tex]$\square \%$[/tex] \\
\hline Simulated Number of Birds in Flock for 2nd Generation & [tex]$\square$[/tex] & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline
\end{tabular}

 Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
Multiply the food percentage for each flock by the total number of birds (30).



Answer :

GinnyAnswer
Let's fill in the missing details step-by-step.

### Step 1: Calculate Food Percentage for Each Flock

The food percentage for each flock is found by dividing the total pieces of food eaten by each flock by the total pieces of food eaten by all flocks (300), and then converting this to a percentage.

#### Flock X:
[tex]\[ \text{Food Percentage for Flock X} = \left( \frac{123}{300} \right) \times 100 = 41.0\% \][/tex]

#### Flock Y:
[tex]\[ \text{Food Percentage for Flock Y} = \left( \frac{99}{300} \right) \times 100 = 33.0\% \][/tex]

#### Flock Z:
[tex]\[ \text{Food Percentage for Flock Z} = \left( \frac{78}{300} \right) \times 100 = 26.0\% \][/tex]

### Step 2: Calculate Simulated Number of Birds in Each Flock for the 2nd Generation

The estimated number of birds in the second generation for each flock is determined by multiplying the food percentage for each flock by the total number of birds (30).

#### Flock X:
[tex]\[ \text{Birds in Flock X} = \left( \frac{41.0}{100} \times 30 \right) = 12.3 \text{ birds} \][/tex]

#### Flock Y:
[tex]\[ \text{Birds in Flock Y} = \left( \frac{33.0}{100} \times 30 \right) = 9.9 \text{ birds} \][/tex]

#### Flock Z:
[tex]\[ \text{Birds in Flock Z} = \left( \frac{26.0}{100} \times 30 \right) = 7.8 \text{ birds} \][/tex]

### Final Table

Let's fill in the table with the calculated values:

[tex]\[ \begin{tabular}{|c|c|c|c|} \hline & Flock X & Flock Y & Flock Z \\ \hline \begin{tabular}{l} Total Pieces of Food Eaten \\ \end{tabular} & 123 & 99 & 78 \\ \hline Food Percentage* & 41.0\% & 33.0\% & 26.0\% \\ \hline \begin{tabular}{l} Simulated Number of Birds in Flock for 2nd Generation \end{tabular} & 12.3 & 9.9 & 7.8 \\ \hline \end{tabular} \][/tex]

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