Hello everyone,
I very confused with one topic and I hope to find someone who could give me an explanation.
In the Manhattan Guides there are two kinds of Overlapping Sets: 1) Double Set Matix 2) Venn Diagrams
I'm fine with the concept of the two methods but I am confused with further knowledge.
There are also some Algebraic approaches for these methods and I am not sure when I should work with the Matrix or Diagram or when I should use the Algebraic approach.
The algebraic approach for the Double Set Matrix would be
Total=X+Y-both+neither The algebraic approach for the Venn Diagram would be:
1)
Total = A+B+C - sum of 2-group overlaps + all three +neither 2)
Total = A+B+C - sum of EXACTLY 2-group overlaps - 2*all three + neither In fact, when there are some Problems like that OG 2017 321, how should I know which approach would work best?
In a survey of 200 College graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?
(1): 25 Percent of those surveyed said that they had received scholarships but no loans
(2) 50 percent of those surveyed who said that they had received loans also said that they had received scholarships.
-> What approach would be the Best and why?Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 47 percent were employees. What percent were stockholders, who were not employees?
A. 52
B. 53
C. 54
D. 55
E. 56
-> What approach would be the Best and why?Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?
A. 105
B. 125
C. 130
D. 180
E. 195
-> What approach would be the Best and why?Would be great if somebody could explain in general when to use which approach, also regarding questions involving variables etc.
Best regards
Marco