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voidnyaah
26.10.2020 •
Mathematics
A, B and C are three restaurants in Taman Damai. A group of residents in Taman Damai were asked to name the restaurants they like.
The Venn diagram shows part of the results of the survey.
Given:
A = {residents who like restaurant A}
B = {residents who like restaurant B}
C = {residents who like restaurant C}
It is given that 20 residents like restaurant A
or B, 22 residents like restaurant B or C and
7 residents do not like restaurant A or C.
Calculate the number of residents who
(a) like restaurant C only.
(b) like restaurant A but do not like restaurant B.
(c) do not like restaurant A or B.
Please help me to solve this question and explain it to me.Thanks.(。・ω・。)
Silly answer will be report.
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Ответ:
(a) 5
(b) 10
(c) 10
Step-by-step explanation:
There are 20 people who like A or B. There are 4+6=10 people who like B, so there are 10 people who like A but not B (the region of the Venn diagram that is outside B and inside A). This answers part b.
Since there are 3 people who like A only, there are 10−3=7 people who like A and C but not B (the intersection of A and C that is outside B).
Next, there are 22 people who like B or C. There are 4+6=10 people who like B, and 7 people who like A and C but not B. Therefore, there are 22−10−7=5 people who like C only. This answers part a.
Finally, there are 7 people who don't like A or C (the region of the diagram that is outside of the circles but inside the rectangle). And as previously found, there are 5 people who like C only. So the number of people who don't like A or B (but may or may not like C) is 7+5=12.
Ответ:
B: 8%
Step-by-step explanation:
It asks for percentage of total students, so we add the male and female student totals for a total of 150 students. We also add the numbers of those that are left handed for a total of 12. We divide 12 by 150 (12/150) to get the decimal, 0.08, which is 8%.