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Sagot :
To determine which statement is true based on the provided data, let's break down each statement and analyze if it holds true using the given statistics for Niger.
### Statement A:
"Niger has twice as many births as deaths per 1,000 people, but the life expectancy is only 52.6 years, resulting in a young median age."
1. Checking if Niger has twice as many births as deaths per 1,000 people:
- Birth rate in Niger: [tex]\( 51.6 \)[/tex] births per 1,000 people
- Death rate in Niger: [tex]\( 20.26 \)[/tex] deaths per 1,000 people
We need to verify if the birth rate is at least twice the death rate:
[tex]\[ 51.6 \geq 2 \times 20.26 \][/tex]
Calculating the right-hand side:
[tex]\[ 2 \times 20.26 = 40.52 \][/tex]
Comparing:
[tex]\[ 51.6 \geq 40.52 \][/tex]
This condition is true.
2. Checking life expectancy:
- Life expectancy in Niger: [tex]\( 52.6 \)[/tex] years
The statement mentions this value correctly.
3. Checking the median age:
- Median age in Niger: [tex]\( 15.2 \)[/tex] years
The statement correctly identifies that the median age is young.
Since all parts of Statement A are confirmed with the data, this statement can be true.
### Statement B:
"Niger's life expectancy is only 52.6 years; therefore, the country must have a young median age."
1. Checking life expectancy:
- Life expectancy in Niger: [tex]\( 52.6 \)[/tex] years
The statement mentions this value correctly.
2. Checking the median age:
- Median age in Niger: [tex]\( 15.2 \)[/tex] years
The statement mentions that Niger has a young median age which matches the provided data.
However, the logical implication in Statement B is that a low life expectancy directly causes a young median age, which is not necessarily true. A young median age is influenced by other factors such as high birth rates and population age structure.
### Conclusion
Based on the given data and the analysis above, we can safely conclude that:
- Statement A is entirely validated by the provided statistics and holds true.
- While Statement B contains correct data points, its implication is more interpretive and less directly supported by the provided facts.
Therefore, the true statement is:
[tex]\[ \boxed{A} \][/tex]
### Statement A:
"Niger has twice as many births as deaths per 1,000 people, but the life expectancy is only 52.6 years, resulting in a young median age."
1. Checking if Niger has twice as many births as deaths per 1,000 people:
- Birth rate in Niger: [tex]\( 51.6 \)[/tex] births per 1,000 people
- Death rate in Niger: [tex]\( 20.26 \)[/tex] deaths per 1,000 people
We need to verify if the birth rate is at least twice the death rate:
[tex]\[ 51.6 \geq 2 \times 20.26 \][/tex]
Calculating the right-hand side:
[tex]\[ 2 \times 20.26 = 40.52 \][/tex]
Comparing:
[tex]\[ 51.6 \geq 40.52 \][/tex]
This condition is true.
2. Checking life expectancy:
- Life expectancy in Niger: [tex]\( 52.6 \)[/tex] years
The statement mentions this value correctly.
3. Checking the median age:
- Median age in Niger: [tex]\( 15.2 \)[/tex] years
The statement correctly identifies that the median age is young.
Since all parts of Statement A are confirmed with the data, this statement can be true.
### Statement B:
"Niger's life expectancy is only 52.6 years; therefore, the country must have a young median age."
1. Checking life expectancy:
- Life expectancy in Niger: [tex]\( 52.6 \)[/tex] years
The statement mentions this value correctly.
2. Checking the median age:
- Median age in Niger: [tex]\( 15.2 \)[/tex] years
The statement mentions that Niger has a young median age which matches the provided data.
However, the logical implication in Statement B is that a low life expectancy directly causes a young median age, which is not necessarily true. A young median age is influenced by other factors such as high birth rates and population age structure.
### Conclusion
Based on the given data and the analysis above, we can safely conclude that:
- Statement A is entirely validated by the provided statistics and holds true.
- While Statement B contains correct data points, its implication is more interpretive and less directly supported by the provided facts.
Therefore, the true statement is:
[tex]\[ \boxed{A} \][/tex]
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