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The chart shows the casualties faced by the Central Powers.
\begin{tabular}{|l|r|r|}
\hline & \multicolumn{1}{|c|}{ Total forces } & \multicolumn{1}{c|}{\begin{tabular}{c}
Total \\
casualties
\end{tabular}} \\
\hline Germany & [tex]$11,000,000$[/tex] & [tex]$7,142,558$[/tex] \\
\hline \begin{tabular}{l}
Austria- \\
Hungary
\end{tabular} & [tex]$7,800,888$[/tex] & [tex]$7,020,000$[/tex] \\
\hline \begin{tabular}{l}
Ottoman \\
Empire
\end{tabular} & [tex]$2,850,000$[/tex] & [tex]$975,000$[/tex] \\
\hline
\end{tabular}

According to the chart, which country had the highest casualty rate in relation to their total forces?

A. France
B. Austria-Hungary
C. The United Kingdom
D. Germany



Answer :

GinnyAnswer
To determine which country had the highest casualty rate in relation to their total forces, we need to calculate the casualty rate for each of the countries listed in the table. The casualty rate is calculated by dividing the total number of casualties by the total number of forces.

Here are the steps to calculate the casualty rate for each country:

1. Germany:
- Total forces: 11,000,000
- Total casualties: 7,142,558
- Casualty rate = [tex]\(\frac{7,142,558}{11,000,000} \approx 0.6493\)[/tex]

2. Austria-Hungary:
- Total forces: 7,800,888
- Total casualties: 7,020,000
- Casualty rate = [tex]\(\frac{7,020,000}{7,800,888} \approx 0.8999\)[/tex]

3. Ottoman Empire:
- Total forces: 2,850,000
- Total casualties: 975,000
- Casualty rate = [tex]\(\frac{975,000}{2,850,000} \approx 0.3421\)[/tex]

Now that we have the casualty rates for each country:

- Germany: Approximately 0.6493
- Austria-Hungary: Approximately 0.8999
- Ottoman Empire: Approximately 0.3421

We compare these rates to find the highest casualty rate.

Austria-Hungary has the highest casualty rate of approximately 0.8999.

Therefore, the country with the highest casualty rate in relation to their total forces is Austria-Hungary.

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