Q = {a, j, k, r, s, t} S = {c, e, f, k, n, p, q}. (all work must be shown): (3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
QUESTION 3
a)
Given = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t}, and
P = {b, d, f, j, m, o}
Q = {a, j, k, r, s, t}
R = {c, l, m, n, o, t}
S = {c, e, f, k, n, p, q}.
Determine the following (all work must be shown):
i.
(PUS)'
ii.
(PUQUS)'
iii. (PUS)'n (QUR)
(3)
b) A group of people were randomly selected and asked to state their preferences
for fruits: P-Pomelo, M - Melon, G- Grapefruit.
The data collected is shown in the Venn Diagram below:
Transcribed Image Text:QUESTION 3 a) Given = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t}, and P = {b, d, f, j, m, o} Q = {a, j, k, r, s, t} R = {c, l, m, n, o, t} S = {c, e, f, k, n, p, q}. Determine the following (all work must be shown): i. (PUS)' ii. (PUQUS)' iii. (PUS)'n (QUR) (3) b) A group of people were randomly selected and asked to state their preferences for fruits: P-Pomelo, M - Melon, G- Grapefruit. The data collected is shown in the Venn Diagram below:
i.
ii.
iii.
iv.
U
V.
vi.
vii.
22
12
7
11
9
15
6
21
Answer the following questions. Show all necessary work.
How many persons were included in the survey?
How many persons like Pomelo?
G
M
How many prefer Grapefruit or Melon but not Pomelo?
How many persons like Melon and Pomelo but not Grapefruit?
How many persons like at most two of the choices?
How many persons like only one type of fruit?
How many persons do not like any of the three types of fruit?
Transcribed Image Text:i. ii. iii. iv. U V. vi. vii. 22 12 7 11 9 15 6 21 Answer the following questions. Show all necessary work. How many persons were included in the survey? How many persons like Pomelo? G M How many prefer Grapefruit or Melon but not Pomelo? How many persons like Melon and Pomelo but not Grapefruit? How many persons like at most two of the choices? How many persons like only one type of fruit? How many persons do not like any of the three types of fruit?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,