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Sagot :
Let's solve the given question by analyzing the provided data step-by-step.
First, we have a chart with the number of ships using the Suez Canal in the years 1880 and 1881:
| | Number of Ships |
|-------------------|-----------------|
| | 1880 | 1881 |
|-------------------|------|----------|
| Great Britain | 1,592 | 2,250 |
| Other countries | 434 | 477 |
| Total | 2,026 | 2,727 |
### Statement Analysis
1. About half the ships were from countries other than Great Britain.
To determine if this statement is true, we need to calculate the proportion of ships from countries other than Great Britain in both years:
- Proportion in 1880: [tex]\(\frac{434}{2,026} \approx 0.214\)[/tex] or 21.42%
- Proportion in 1881: [tex]\(\frac{477}{2,727} \approx 0.175\)[/tex] or 17.49%
Since neither of these proportions is close to half (50%), the statement "About half the ships were from countries other than Great Britain" is not supported by the information in the chart.
2. Other countries sent almost twice as many ships in 1881 than in 1880.
To evaluate this, we compare the number of ships from other countries in 1880 and 1881:
- Number of ships in 1880: 434
- Number of ships in 1881: 477
We check if the number in 1881 is almost twice that of 1880:
- Twice 434 is 868. To be almost twice, we consider a range of 90% to 110% of 868 (781.2 to 954.8).
- Since 477 is outside this range, the statement "Other countries sent almost twice as many ships in 1881 than in 1880" is not supported by the information in the chart.
3. More ships passed through the canal in 1880 than in 1881.
Comparing the total number of ships:
- Total in 1880: 2,026
- Total in 1881: 2,727
Since 2,026 is not greater than 2,727, the statement "More ships passed through the canal in 1880 than in 1881" is not supported by the information in the chart.
4. At least three-fourths of the ships using the canal in both years were from Great Britain.
To evaluate this, we calculate the proportion of ships from Great Britain:
- Proportion in 1880: [tex]\(\frac{1,592}{2,026} \approx 0.786\)[/tex] or 78.58%
- Proportion in 1881: [tex]\(\frac{2,250}{2,727} \approx 0.825\)[/tex] or 82.51%
In both years, the proportion is greater than or equal to three-fourths (75%). Therefore, the statement "At least three-fourths of the ships using the canal in both years were from Great Britain" is supported by the information in the chart.
### Conclusion
Based on the analysis above, the only statement supported by the information in the chart is:
"At least three-fourths of the ships using the canal in both years were from Great Britain."
First, we have a chart with the number of ships using the Suez Canal in the years 1880 and 1881:
| | Number of Ships |
|-------------------|-----------------|
| | 1880 | 1881 |
|-------------------|------|----------|
| Great Britain | 1,592 | 2,250 |
| Other countries | 434 | 477 |
| Total | 2,026 | 2,727 |
### Statement Analysis
1. About half the ships were from countries other than Great Britain.
To determine if this statement is true, we need to calculate the proportion of ships from countries other than Great Britain in both years:
- Proportion in 1880: [tex]\(\frac{434}{2,026} \approx 0.214\)[/tex] or 21.42%
- Proportion in 1881: [tex]\(\frac{477}{2,727} \approx 0.175\)[/tex] or 17.49%
Since neither of these proportions is close to half (50%), the statement "About half the ships were from countries other than Great Britain" is not supported by the information in the chart.
2. Other countries sent almost twice as many ships in 1881 than in 1880.
To evaluate this, we compare the number of ships from other countries in 1880 and 1881:
- Number of ships in 1880: 434
- Number of ships in 1881: 477
We check if the number in 1881 is almost twice that of 1880:
- Twice 434 is 868. To be almost twice, we consider a range of 90% to 110% of 868 (781.2 to 954.8).
- Since 477 is outside this range, the statement "Other countries sent almost twice as many ships in 1881 than in 1880" is not supported by the information in the chart.
3. More ships passed through the canal in 1880 than in 1881.
Comparing the total number of ships:
- Total in 1880: 2,026
- Total in 1881: 2,727
Since 2,026 is not greater than 2,727, the statement "More ships passed through the canal in 1880 than in 1881" is not supported by the information in the chart.
4. At least three-fourths of the ships using the canal in both years were from Great Britain.
To evaluate this, we calculate the proportion of ships from Great Britain:
- Proportion in 1880: [tex]\(\frac{1,592}{2,026} \approx 0.786\)[/tex] or 78.58%
- Proportion in 1881: [tex]\(\frac{2,250}{2,727} \approx 0.825\)[/tex] or 82.51%
In both years, the proportion is greater than or equal to three-fourths (75%). Therefore, the statement "At least three-fourths of the ships using the canal in both years were from Great Britain" is supported by the information in the chart.
### Conclusion
Based on the analysis above, the only statement supported by the information in the chart is:
"At least three-fourths of the ships using the canal in both years were from Great Britain."
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