Q:

At a particular university, 44% of the students are freshmen, 25% are sophomores, 16% are juniors, and 15% are seniors. Of the freshmen, 35% have not declared a major. Of the sophomores, 25% have not declared a major. Of the juniors, 10% have not declared a major, and of the seniors, 3% have not declared a major. Of the students who have not declared majors, what percent (rounded to the nearest percent) are freshmen?A. 35%B. 65%C. 44%D. 15%

Accepted Solution

A:
Answer: Option 'D' is correct.Step-by-step explanation:Since we have given thatPercentage of students are freshmen = 44%Percentage of students are sophomores = 25%Percentage of students are juniors = 16%Percentage of students are seniors = 15%Of the freshmen, 35% have not declared a major.So, Percent of the freshmen who have not declared a major is given by[tex]\dfrac{44}{100}\times \dfrac{35}{100}\times 100\\\\=\dfrac{1540}{100}\\\\=15.4\%\\\\\approx 15\%[/tex]Hence, Option 'D' is correct.