Math

QuestionSummarize the ethnic distribution of 1772 qualified applicants: %\square \% Black or Hispanic, %\square \% Asian, %\square \% White.

Studdy Solution

STEP 1

Assumptions1. The total number of qualified applicants is177. . The number of Black or Hispanic applicants is525.
3. The number of Asian applicants is313.
4. The number of White applicants is934.

STEP 2

First, we need to find the percentage of each ethnic group. We can do this by dividing the number of applicants of each ethnic group by the total number of applicants and then multiplying by100.
Percentage=NumberofapplicantsofanethnicgroupTotalnumberofapplicants×100Percentage = \frac{Number\, of\, applicants\, of\, an\, ethnic\, group}{Total\, number\, of\, applicants} \times100

STEP 3

Now, plug in the given values for the number of Black or Hispanic applicants and the total number of applicants to calculate the percentage of Black or Hispanic applicants.
PercentageBlackorHispanic=5251772×100Percentage_{Black\, or\, Hispanic} = \frac{525}{1772} \times100

STEP 4

Calculate the percentage of Black or Hispanic applicants.
PercentageBlackorHispanic=5251772×100=29.6%Percentage_{Black\, or\, Hispanic} = \frac{525}{1772} \times100 =29.6\%

STEP 5

Now, plug in the given values for the number of Asian applicants and the total number of applicants to calculate the percentage of Asian applicants.
PercentageAsian=3131772×100Percentage_{Asian} = \frac{313}{1772} \times100

STEP 6

Calculate the percentage of Asian applicants.
PercentageAsian=3131772×100=17.%Percentage_{Asian} = \frac{313}{1772} \times100 =17.\%

STEP 7

Now, plug in the given values for the number of White applicants and the total number of applicants to calculate the percentage of White applicants.
PercentageWhite=9341772×100Percentage_{White} = \frac{934}{1772} \times100

STEP 8

Calculate the percentage of White applicants.
PercentageWhite=9341772×100=52.7%Percentage_{White} = \frac{934}{1772} \times100 =52.7\%Of the qualified applicants,29.6% were Black or Hispanic,17.7% were Asian, and52.7% were White.

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