Let's take a step-by-step approach to filling out the table provided for the second generation.
Firstly, let's complete the calculation of the food percentages for each flock:
1. Food Percentage Calculation:
- Flock X: The percentage of total food eaten by Flock X is given by the ratio of food eaten by Flock X to the total pieces of food eaten.
[tex]\[
\text{Food Percentage for Flock X} = \frac{123}{300} = 0.41
\][/tex]
- Flock Y: Similarly, the percentage for Flock Y is:
[tex]\[
\text{Food Percentage for Flock Y} = \frac{99}{300} = 0.33
\][/tex]
- Flock Z: And for Flock Z:
[tex]\[
\text{Food Percentage for Flock Z} = \frac{78}{300} = 0.26
\][/tex]
With these percentages, we can now fill in the food percentage provided in the table.
2. Simulated Number of Birds Calculation:
- Flock X: To find the simulated number of birds for Flock X in the second generation, you multiply the food percentage of Flock X by the total number of birds (30).
[tex]\[
\text{Simulated Number of Birds in Flock X} = 0.41 \times 30 = 12.3
\][/tex]
- Flock Y: Similarly, for Flock Y:
[tex]\[
\text{Simulated Number of Birds in Flock Y} = 0.33 \times 30 = 9.9
\][/tex]
- Flock Z: And for Flock Z:
[tex]\[
\text{Simulated Number of Birds in Flock Z} = 0.26 \times 30 = 7.8
\][/tex]
With these calculations complete, we can now fill in the simulated number of birds for each flock in the table.
So, the completed table is:
[tex]\[
\begin{array}{|l|c|c|c|}
\hline
& \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\
\hline
\text{Total Pieces of Food Eaten} & 123 & 99 & 78 \\
\hline
\text{Food Percentage*} & 0.41 & 0.33 & 0.26 \\
\hline
\text{Simulated Number of Birds in Flock for 2nd Generation*} & 12.3 & 9.9 & 7.8 \\
\hline
\end{array}
\][/tex]
Thus, the table is fully completed with the necessary details for the second generation.
