Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

\begin{tabular}{|l|l|l|l|}
\cline {2-4} & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock [tex]$Z$[/tex] \\
\hline Total Pieces of Food Eaten & 32 & 180 & 88 \\
\hline Food Percentage [tex]${}^{\star}$[/tex] & & [tex]$8\%$[/tex] & \\
\hline Simulated Number of Birds in Flock for 3rd Generation & & & \\
\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).

Sagot :

GinnyAnswer
Let's work through the question step-by-step to fill out the table. We have the total pieces of food eaten by each flock and the total pieces of food each flock ate. We are also given a percentage for Flock [tex]$Y$[/tex] and need to find the number of birds in the 3rd generation for each flock.

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

- Food eaten by Flock [tex]$X$[/tex]: 32 pieces
- Food eaten by Flock [tex]$Y$[/tex]: 180 pieces
- Food eaten by Flock [tex]$Z$[/tex]: 88 pieces
- Total food eaten: 300 pieces

To find the food percentage for Flock [tex]$X$[/tex] and Flock [tex]$Z$[/tex], we divide the food eaten by the total food and multiply by 100:

#### Flock [tex]$X$[/tex]:
[tex]\[ \text{Food Percentage for Flock } X = \left(\frac{32}{300}\right) \times 100 = 10.67\% \][/tex]

#### Flock [tex]$Y$[/tex]:
We are given that the food percentage for Flock [tex]$Y$[/tex] is 8%, so we will use this directly for calculations.

#### Flock [tex]$Z$[/tex]:
[tex]\[ \text{Food Percentage for Flock } Z = \left(\frac{88}{300}\right) \times 100 = 29.33\% \][/tex]

### Step 2: Calculate Number of Birds in the 3rd Generation for Each Flock

We have a total of 30 birds. To find the number of birds in each flock for the 3rd generation, we multiply the food percentage by the total number of birds:

#### Flock [tex]$X$[/tex]:
[tex]\[ \text{Number of Birds } X = \left(\frac{10.67}{100}\right) \times 30 \approx 3.2 \][/tex]

#### Flock [tex]$Y$[/tex]:
[tex]\[ \text{Number of Birds } Y = \left(\frac{8}{100}\right) \times 30 = 2.4 \][/tex]

#### Flock [tex]$Z$[/tex]:
[tex]\[ \text{Number of Birds } Z = \left(\frac{29.33}{100}\right) \times 30 \approx 8.8 \][/tex]

### Summary of the Results:
Now that we have all the required calculations, let's fill in the table:

[tex]\[ \begin{array}{|l|l|l|l|} \hline & \text{Flock } X & \text{Flock } Y & \text{Flock } Z \\ \hline \text{Total Pieces of Food Eaten} & 32 & 180 & 88 \\ \hline \text{Food Percentage} & 10.67\% & 8\% & 29.33\% \\ \hline \text{Simulated Number of Birds in Flock for 3rd Generation} & 3.2 & 2.4 & 8.8 \\ \hline \end{array} \][/tex]

These detailed steps demonstrate how to calculate the required food percentages and the simulated number of birds in each flock for the 3rd generation.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.