Question

complete the following sentence. as of 2020, the life expectancy (at birth) of women in a particular country (82.9 years) is ______ percent greater than the life expectancy of men in that same country (75.1 years). as of 2020, the life expectancy (at birth) of women in a particular country (82.9 years) is 10.4 percent greater than the life expectancy of men in that same country (75.1 years) (round the final answer to one decimal place as needed. round all intermediate values to three decimal places as needed.)

Explanation:

Step1: Calculate the difference in life expectancy

The difference \(d\) between women's and men's life expectancy is \(d = 82.9 - 75.1=7.8\) years.

Step2: Calculate the percentage increase

The formula for percentage increase is \(\text{Percentage Increase}=\frac{\text{Difference}}{\text{Original Value}}\times100\%\). Here, the original value (men's life expectancy) is \(75.1\) years.
So, \(\text{Percentage Increase}=\frac{7.8}{75.1}\times 100\%\)
First, calculate \(\frac{7.8}{75.1}\approx0.104\) (rounded to three decimal places)
Then, \(0.104\times100\% = 10.4\%\)

Answer:

\(10.4\)