Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The following data give the distribution of the types of houses in a town containing 25,000 houses. Identify each type and its percentage on the circle graph.

\begin{tabular}{|l|l|}
\hline
House Style & Frequency \\
\hline
Cape & 6250 \\
\hline
Garrison & 10000 \\
\hline
Split & 8750 \\
\hline
\end{tabular}

a. Cape [tex]$-25 \%$[/tex]

b. Split [tex]$-35 \%$[/tex]

c. Garrison [tex]$-40 \%$[/tex]


Sagot :

To determine the percentage distribution for different styles of houses in a town with a total of 25,000 houses, we can follow these steps:

1. Identify the total number of houses: The town has a total of 25,000 houses.

2. Determine the number of houses for each style:
- Cape: 6,250 houses
- Garrison: 10,000 houses
- Split: 8,750 houses

3. Calculate the percentage for each type of house:
- Cape Percentage:
[tex]\[ \text{Cape percentage} = \left(\frac{\text{Number of Cape houses}}{\text{Total number of houses}}\right) \times 100 \][/tex]
[tex]\[ \text{Cape percentage} = \left(\frac{6250}{25000}\right) \times 100 = 25\% \][/tex]

- Garrison Percentage:
[tex]\[ \text{Garrison percentage} = \left(\frac{\text{Number of Garrison houses}}{\text{Total number of houses}}\right) \times 100 \][/tex]
[tex]\[ \text{Garrison percentage} = \left(\frac{10000}{25000}\right) \times 100 = 40\% \][/tex]

- Split Percentage:
[tex]\[ \text{Split percentage} = \left(\frac{\text{Number of Split houses}}{\text{Total number of houses}}\right) \times 100 \][/tex]
[tex]\[ \text{Split percentage} = \left(\frac{8750}{25000}\right) \times 100 = 35\% \][/tex]

4. Summarize the percentages:
- Cape: 25%
- Garrison: 40%
- Split: 35%

Therefore, the percentage distribution of house styles on the circle graph would be:
- Cape: 25%
- Garrison: 40%
- Split: 35%

To address the specific options given in the question:
- Option (a): Cape - 40%, Split - 35%
- Option (b): Split - 40%, Garrison - 35%

Comparing the calculated percentages with the given options, we can see that neither Option (a) nor Option (b) are correct since the correct percentages are:
- Cape: 25%
- Garrison: 40%
- Split: 35%

None of the provided options (a) or (b) match the correct percentages, so neither is the correct distribution.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.