In the statistic department of UCI, there are 60 graduate students in total, 45 PhD students and 15 master students. Among master students, 40% of them are international students. Among PhD students, 20% are international students. (a) What is the proportion of international students in the statistic department? (b) What is the proportion of master students among all domestic students.

Answers

Answer 1

Answer:

(a) The proportion of international students in the statistic department is 25%.

(b) The proportion of master students among all domestic students is 20%.

Step-by-step explanation:

The following can first be obtained from the question:

Total number of graduate students = 60

Number of PhD students = 45

Number of Master students = 15

Percentage of international students among the master students = 40%

Percentage of international students among the PhD students = 20%

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of international PhD students = Number of PhD students * Percentage of international students among the PhD students = 45 * 20% = 9

The questions can now be answered as follows:

(a) What is the proportion of international students in the statistic department?

This can be calculated as follows:

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of graduate students = 60

Proportion of international students in the statistic department = Total number of international students / Total number of graduate students = 15 / 60 = 0.25, or 25%

Therefore, the proportion of international students in the statistic department is 25%.

(b) What is the proportion of master students among all domestic students.

This can be calculated as follows:

Total number of graduate students = 60

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of domestic students = Total number of graduate students - Total number of international students = 60 - 15 = 45

Number of Master students = 15

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of domestic master students = Number of Master students - Number of international master students = 15 - 6 = 9

Proportion of master students among all domestic students = Number of domestic master students / Total number of domestic students = 9 / 45 = 0.20, or 20%

Therefore, the proportion of master students among all domestic students is 20%.


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Answers

Answer:

The answer is 6

Step-by-step explanation:

12 divided by 2 is 6. If you have a fraction of 1/2, then its half of it. 6 is half of 12. :)

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Explanation:

You can multiply the numerator by the numerator and the denominator by the denominator.

The numerator of 12 is 12 and denominator of 12 is 1.

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Simplify this fraction and you get 6 over 1 or just 6.

You can also use common sense (not really).

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−x

4

+(4×23)x

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x+

x

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a

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a+b

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4

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+

x

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4

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4

+

x

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Answers

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Answers

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Answers

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