1/10 of the current U.S. population his diabetes. 2/5 of the people with diabetes have not been diagnosed with this disease. What fraction of the U.S population has undiagnosed diabetes
To find the fraction of the U.S. population that has undiagnosed diabetes, we need to multiply the fraction of people with diabetes by the fraction of those who have not been diagnosed.
Fraction of people with diabetes = 1/10
Fraction of those with diabetes who have not been diagnosed = 2/5
Fraction of U.S. population with undiagnosed diabetes = (1/10) * (2/5) = 2/50 = 1/25
Therefore, 1/25 of the U.S. population has undiagnosed diabetes.