Question

complete the following sentence. as of 2020, the life expectancy (at birth) of women in a particular country (80.7 years) is ____ percent greater than the life expectancy of men in that same country (74.8 years) (round the final answer to one decimal place as needed. round all intermediate values to three decimal places as needed.)

Explanation:

Step1: Find the difference in life expectancies

First, we find the difference between the life expectancy of women and men. The life expectancy of women is 80.7 years and that of men is 74.8 years. So the difference is \( 80.7 - 74.8 = 5.9 \) years.

Step2: Calculate the percentage increase

To find the percentage by which the women's life expectancy is greater than men's, we use the formula for percentage increase: \( \text{Percentage Increase} = \frac{\text{Difference}}{\text{Men's Life Expectancy}} \times 100 \). Substituting the values, we get \( \frac{5.9}{74.8} \times 100 \). First, calculate \( \frac{5.9}{74.8} \approx 0.07888 \) (rounded to five decimal places for accuracy, but we can round intermediate values to three decimal places as needed: \( \frac{5.9}{74.8} \approx 0.079 \) when rounded to three decimal places). Then multiply by 100: \( 0.079 \times 100 = 7.9\% \) (using the intermediate value rounded to three decimal places). If we use the more accurate value of \( 0.07888 \), we get \( 0.07888\times100 = 7.888\% \), which rounds to 7.9% when rounded to one decimal place.

Answer:

7.9