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Sagot :
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.
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.
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