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Sagot :
Alright class, let's tackle this problem step-by-step, filling in the blanks of the table as we go.
### Step 1: Calculating the Food Percentage for Each Flock
The first thing we need to do is calculate the food percentage for each flock. We do this by dividing the number of pieces of food each flock ate by the total number of pieces of food (300), and then multiplying by 100 to get the percentage.
#### Flock X:
- Total Food Eaten by Flock X: 57
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock X: [tex]\((57 / 300) \times 100 = 19.0\%\)[/tex]
#### Flock Y:
- Total Food Eaten by Flock Y: 153
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock Y: [tex]\((153 / 300) \times 100 = 51.0\%\)[/tex]
#### Flock Z:
- Total Food Eaten by Flock Z: 90
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock Z: [tex]\((90 / 300) \times 100 = 30.0\%\)[/tex]
Let's fill in these values in the table:
\begin{tabular}{|l|l|l|l|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock Z \\
\hline Total Pieces of Food Eaten & 57 & 153 & 90 \\
\hline Food Percentage [tex]${ }^$[/tex] & 19.0\% & 51.0\% & 30.0\% \\
\hline Simulated Number of Birds in Flock for 2nd Generation & & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline
\end{tabular}
### Step 2: Calculating the Simulated Number of Birds in Each Flock for the 2nd Generation
Next, we need to find the simulated number of birds in each flock for the next generation. This is done by multiplying the food percentage for each flock by the total number of birds (30).
#### Flock X:
- Food Percentage for Flock X: [tex]\(19.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock X: [tex]\(0.19 \times 30 = 5.7\)[/tex]
#### Flock Y:
- Food Percentage for Flock Y: [tex]\(51.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock Y: [tex]\(0.51 \times 30 = 15.3\)[/tex]
#### Flock Z:
- Food Percentage for Flock Z: [tex]\(30.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock Z: [tex]\(0.30 \times 30 = 9.0\)[/tex]
Now, let's fill in the remaining values in the table:
\begin{tabular}{|l|l|l|l|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock Z \\
\hline Total Pieces of Food Eaten & 57 & 153 & 90 \\
\hline Food Percentage [tex]${ }^$[/tex] & 19.0\% & 51.0\% & 30.0\% \\
\hline Simulated Number of Birds in Flock for 2nd Generation & 5.7 & 15.3 & 9.0 \\
\hline
\end{tabular}
And there you have it! We have successfully filled in the table by calculating the food percentage for each flock and the simulated number of birds for the second generation.
### Step 1: Calculating the Food Percentage for Each Flock
The first thing we need to do is calculate the food percentage for each flock. We do this by dividing the number of pieces of food each flock ate by the total number of pieces of food (300), and then multiplying by 100 to get the percentage.
#### Flock X:
- Total Food Eaten by Flock X: 57
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock X: [tex]\((57 / 300) \times 100 = 19.0\%\)[/tex]
#### Flock Y:
- Total Food Eaten by Flock Y: 153
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock Y: [tex]\((153 / 300) \times 100 = 51.0\%\)[/tex]
#### Flock Z:
- Total Food Eaten by Flock Z: 90
- Total Food Eaten by All Flocks: 300
- Food Percentage for Flock Z: [tex]\((90 / 300) \times 100 = 30.0\%\)[/tex]
Let's fill in these values in the table:
\begin{tabular}{|l|l|l|l|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock Z \\
\hline Total Pieces of Food Eaten & 57 & 153 & 90 \\
\hline Food Percentage [tex]${ }^$[/tex] & 19.0\% & 51.0\% & 30.0\% \\
\hline Simulated Number of Birds in Flock for 2nd Generation & & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline
\end{tabular}
### Step 2: Calculating the Simulated Number of Birds in Each Flock for the 2nd Generation
Next, we need to find the simulated number of birds in each flock for the next generation. This is done by multiplying the food percentage for each flock by the total number of birds (30).
#### Flock X:
- Food Percentage for Flock X: [tex]\(19.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock X: [tex]\(0.19 \times 30 = 5.7\)[/tex]
#### Flock Y:
- Food Percentage for Flock Y: [tex]\(51.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock Y: [tex]\(0.51 \times 30 = 15.3\)[/tex]
#### Flock Z:
- Food Percentage for Flock Z: [tex]\(30.0\%\)[/tex]
- Total Number of Birds: 30
- Simulated Number of Birds for Flock Z: [tex]\(0.30 \times 30 = 9.0\)[/tex]
Now, let's fill in the remaining values in the table:
\begin{tabular}{|l|l|l|l|}
\cline { 2 - 4 } \multicolumn{1}{c|}{} & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock Z \\
\hline Total Pieces of Food Eaten & 57 & 153 & 90 \\
\hline Food Percentage [tex]${ }^$[/tex] & 19.0\% & 51.0\% & 30.0\% \\
\hline Simulated Number of Birds in Flock for 2nd Generation & 5.7 & 15.3 & 9.0 \\
\hline
\end{tabular}
And there you have it! We have successfully filled in the table by calculating the food percentage for each flock and the simulated number of birds for the second generation.
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