a total of 19,000 students entered big state university in the fall of 2013. the following table breaks down…

a total of 19,000 students entered big state university in the fall of 2013. the following table breaks down the student body by race and gender:\n\n| | male | female | total |\n|--|--|--|--|\n| white | 2,850 | 3,800 | 6,650 |\n| african - american | 380 | 950 | 1,330 |\n| hispanic | 1,900 | 1,900 | 3,800 |\n| asian | 950 | 1,900 | 2,850 |\n| other | 2,185 | 2,185 | 4,370 |\n| total | 8,265 | 10,735 | 19,000 |\n\ncomplete the following table by choosing the correct value representing the portion of students that is both male and african - american in fraction, decimal, and percent form.\n\n| | fraction | decimal | percent |\n|--|--|--|--|\n| male and african - american | | | |\n\nthe portion of students that are female and white is $\frac{3,800}{19,000}$. which of the following represent fractions that are equivalent to $\frac{3,800}{19,000}$? check all that apply.\n\n$square\frac{760}{1,900}$\n$square\frac{380}{1,900}$\n$square\frac{380}{19,000}$\n$square\frac{3,800}{1,900}$

a total of 19,000 students entered big state university in the fall of 2013. the following table breaks down the student body by race and gender:\n\n| | male | female | total |\n|--|--|--|--|\n| white | 2,850 | 3,800 | 6,650 |\n| african - american | 380 | 950 | 1,330 |\n| hispanic | 1,900 | 1,900 | 3,800 |\n| asian | 950 | 1,900 | 2,850 |\n| other | 2,185 | 2,185 | 4,370 |\n| total | 8,265 | 10,735 | 19,000 |\n\ncomplete the following table by choosing the correct value representing the portion of students that is both male and african - american in fraction, decimal, and percent form.\n\n| | fraction | decimal | percent |\n|--|--|--|--|\n| male and african - american | | | |\n\nthe portion of students that are female and white is $\frac{3,800}{19,000}$. which of the following represent fractions that are equivalent to $\frac{3,800}{19,000}$? check all that apply.\n\n$square\frac{760}{1,900}$\n$square\frac{380}{1,900}$\n$square\frac{380}{19,000}$\n$square\frac{3,800}{1,900}$

Answer

Explanation:

Step1: Find fraction of male and African - American students

The number of male and African - American students is 380, and the total number of students is 19000. So the fraction is $\frac{380}{19000}=\frac{1}{50}$.

Step2: Convert fraction to decimal

To convert $\frac{1}{50}$ to a decimal, divide 1 by 50: $1\div50 = 0.02$.

Step3: Convert decimal to percent

To convert 0.02 to a percent, multiply by 100: $0.02\times100 = 2%$.

For the equivalent - fraction part: Simplify $\frac{3800}{19000}=\frac{2}{10}=\frac{1}{5}$.

  • For $\frac{760}{1900}$, simplify: $\frac{760\div190}{1900\div190}=\frac{4}{10}=\frac{2}{5}$ (not equivalent).
  • For $\frac{380}{1900}$, simplify: $\frac{380\div380}{1900\div380}=\frac{1}{5}$ (equivalent).
  • For $\frac{380}{19000}$ (not equivalent).
  • For $\frac{3800}{1900}$ (not equivalent).

Answer:

Male and African - American: Fraction: $\frac{1}{50}$ Decimal: $0.02$ Percent: $2%$ Equivalent fractions to $\frac{3800}{19000}$: $\frac{380}{1900}$