Read Each Of The Following Problems Carefully Before Constru
Read Each Of The Following Problems Carefully Before Constructing the
Read each of the following problems carefully before constructing the fraction and solving for the answer. At St. Algebra College, the numbers of males and females in the various major fields of study are as follows:
Major | Males | Females
---|---|---
Humanities | |
Social sciences | 3 | 35
Natural sciences | |
Business | |
Nursing | |
Education | |
Since the table is incomplete, assume hypothetical but consistent data where necessary to perform calculations, or clarify the problem assumptions accordingly.
Paper For Above instruction
The problem set involves analyzing the distribution of male and female students across different academic majors at St. Algebra College. The provided data is partial, with only the "Social sciences" major explicitly filled: 3 males and 35 females. Other majors such as Humanities, Natural sciences, Business, Nursing, and Education are unspecified. To proceed, reasonable assumptions or a complete dataset are required; otherwise, calculations cannot be precisely performed. For the purpose of this exercise, let's assume plausible quantities for the missing data to demonstrate how to answer such questions.
Suppose the following complete data:
Major | Males | Females
---|---|---
Humanities | 20 | 25
Social sciences | 3 | 35
Natural sciences | 22 | 18
Business | 15 | 40
Nursing | 10 | 30
Education | 12 | 22
Total students in each major:
- Humanities: 20 + 25 = 45
- Social sciences: 3 + 35 = 38
- Natural sciences: 22 + 18 = 40
- Business: 15 + 40 = 55
- Nursing: 10 + 30 = 40
- Education: 12 + 22 = 34
Total students per gender:
- Males: 20 + 3 + 22 + 15 + 10 + 12 = 82
- Females: 25 + 35 + 18 + 40 + 30 + 22 = 170
Total students overall: 82 + 170 = 252
a) What percentage of social science majors are male?
Number of male social sciences majors / total social sciences majors × 100 = 3 / 38 × 100 ≈ 7.89%
b) What proportion of business majors are female?
Number of female business majors / total business majors = 40 / 55 ≈ 0.727 or 72.7%
c) For the humanities, what is the ratio of males to females?
Males : Females = 20 : 25 = 4 : 5
d) What percentage of the total student body are males?
Number of males / total students × 100 = 82 / 252 × 100 ≈ 32.54%
e) What is the ratio of males to females for the entire sample?
Males : Females = 82 : 170, which simplifies approximately to 41 : 85
f) What proportions of the nursing majors are male?
Number of male nursing majors / total nursing majors = 10 / 40 = 0.25 or 25%
g) What percentage of the sample are social science majors?
Total social science students / total students × 100 = 38 / 252 × 100 ≈ 15.08%
h) What is the ratio of humanities majors to business majors?
Humanities : Business = 45 : 55, which simplifies to 9 : 11
i) What is the ratio of female business majors to female nursing majors?
Female business : Female nursing = 40 : 30 = 4 : 3
j) What proportion of the males are educational majors?
Number of male education majors / total males = 12 / 82 ≈ 0.146 or 14.6%
These calculations rely on hypothetical data created to illustrate the process since the original table was incomplete. Actual calculations would depend on the specific data provided.
References
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