Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
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.
### 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.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
