Answer :
Let's go through this step-by-step:
## Step 1: Calculate the Food Percentage for Each Flock
1. Total food eaten by each flock:
- Flock [tex]\(X\)[/tex]: 147 pieces
- Flock [tex]\(Y\)[/tex]: 93 pieces
- Flock [tex]\(Z\)[/tex]: 60 pieces
2. Total food eaten by all flocks:
- Total food eaten: 300 pieces
3. Calculate the percentage of food eaten by each flock:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } X = \left(\frac{147}{300}\right) \times 100\% = 49.0\% \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Y = \left(\frac{93}{300}\right) \times 100\% = 31.0\% \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Z = \left(\frac{60}{300}\right) \times 100\% = 20.0\% \][/tex]
## Step 2: Calculate the Simulated Number of Birds in Each Flock for the 3rd Generation
1. Total number of birds:
- Total birds: 30
2. Calculate the simulated number of birds for each flock based on the food percentage:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Number of birds in Flock } X = \left(\frac{49.0}{100}\right) \times 30 = 14.7 \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Y = \left(\frac{31.0}{100}\right) \times 30 = 9.3 \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Z = \left(\frac{20.0}{100}\right) \times 30 = 6.0 \][/tex]
Let's fill in the table:
\begin{tabular}{|c|c|c|c|}
\hline & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock [tex]$Z$[/tex] \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline Food Percentage & 49.0\% & 31.0\% & 20.0\% \\
\hline Simulated Number of Birds in Flock for 3rd Generation* & 14.7 & 9.3 & 6.0 \\
\hline
\end{tabular}
The table is now complete with calculated values for the food percentage and simulated number of birds in each flock for the 3rd generation.
## Step 1: Calculate the Food Percentage for Each Flock
1. Total food eaten by each flock:
- Flock [tex]\(X\)[/tex]: 147 pieces
- Flock [tex]\(Y\)[/tex]: 93 pieces
- Flock [tex]\(Z\)[/tex]: 60 pieces
2. Total food eaten by all flocks:
- Total food eaten: 300 pieces
3. Calculate the percentage of food eaten by each flock:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } X = \left(\frac{147}{300}\right) \times 100\% = 49.0\% \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Y = \left(\frac{93}{300}\right) \times 100\% = 31.0\% \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Z = \left(\frac{60}{300}\right) \times 100\% = 20.0\% \][/tex]
## Step 2: Calculate the Simulated Number of Birds in Each Flock for the 3rd Generation
1. Total number of birds:
- Total birds: 30
2. Calculate the simulated number of birds for each flock based on the food percentage:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Number of birds in Flock } X = \left(\frac{49.0}{100}\right) \times 30 = 14.7 \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Y = \left(\frac{31.0}{100}\right) \times 30 = 9.3 \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Z = \left(\frac{20.0}{100}\right) \times 30 = 6.0 \][/tex]
Let's fill in the table:
\begin{tabular}{|c|c|c|c|}
\hline & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock [tex]$Z$[/tex] \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline Food Percentage & 49.0\% & 31.0\% & 20.0\% \\
\hline Simulated Number of Birds in Flock for 3rd Generation* & 14.7 & 9.3 & 6.0 \\
\hline
\end{tabular}
The table is now complete with calculated values for the food percentage and simulated number of birds in each flock for the 3rd generation.