The following table shows the results of a survey of authors by a fictitious publishing company. New Authors Established Authors 4 27 15 54 Total 19 81 Consider the following subsets of the set 5 of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Successful Unsuccessful Describe the set cnw in words. O The set of authors who are either successful or new (or both). The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are either unsuccessful or new (or both). Describe the set CU N in words. O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are either successful or new (or both). Use the table to compute n(C), n(N), n(CM), and n(CUN). n(C) = n(N) n(CNN) n(CUN) = = Total 31 69 100 Does n(CUN) = n(C) + n(N) - n(CNN)? Yes No
The following table shows the results of a survey of authors by a fictitious publishing company. New Authors Established Authors 4 27 15 54 Total 19 81 Consider the following subsets of the set 5 of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Successful Unsuccessful Describe the set cnw in words. O The set of authors who are either successful or new (or both). The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are either unsuccessful or new (or both). Describe the set CU N in words. O The set of authors who are both unsuccessful and new. O The set of authors who are both successful and new. O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are either successful or new (or both). Use the table to compute n(C), n(N), n(CM), and n(CUN). n(C) = n(N) n(CNN) n(CUN) = = Total 31 69 100 Does n(CUN) = n(C) + n(N) - n(CNN)? Yes No
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Finite Math - Cardinality
Can you please solve this without technology and show the step-by-step process?
![The following table shows the results of a survey of authors by a fictitious publishing company.
Established
Authors
27
54
81
Successful
Unsuccessful
New Authors
Total
19
Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of
unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.]
=
4
15
Describe the set cn Win words.
O The set of authors who are either successful or new (or both).
O The set of authors who are successful but not new.
O The set of authors who are both unsuccessful and new.
The set of authors who are both successful and new.
O The set of authors who are either unsuccessful or new (or both).
n(CNN) =
n(CUN)
Describe the set CU W in words.
O The set of authors who are both unsuccessful and new.
O The set of authors who are both successful and new.
The set of authors who are unsuccessful but not new.
O The set of authors who are either unsuccessful or new (or both).
O The set of authors who are either successful or new (or both).
Use the table to compute n(C), n(N), n(CNN), and n(CUN).
n(C) =
n(N).
=
Total
31
69
100
Does n(CUN) = n(C) + n(N) - n(CNN)?
O Yes
O No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cb22b42-8fdd-4809-96df-75f61a85b32c%2F901ff652-663a-4d27-a8d0-30bfb9dd126d%2Faqj41m_processed.png&w=3840&q=75)
Transcribed Image Text:The following table shows the results of a survey of authors by a fictitious publishing company.
Established
Authors
27
54
81
Successful
Unsuccessful
New Authors
Total
19
Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of
unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.]
=
4
15
Describe the set cn Win words.
O The set of authors who are either successful or new (or both).
O The set of authors who are successful but not new.
O The set of authors who are both unsuccessful and new.
The set of authors who are both successful and new.
O The set of authors who are either unsuccessful or new (or both).
n(CNN) =
n(CUN)
Describe the set CU W in words.
O The set of authors who are both unsuccessful and new.
O The set of authors who are both successful and new.
The set of authors who are unsuccessful but not new.
O The set of authors who are either unsuccessful or new (or both).
O The set of authors who are either successful or new (or both).
Use the table to compute n(C), n(N), n(CNN), and n(CUN).
n(C) =
n(N).
=
Total
31
69
100
Does n(CUN) = n(C) + n(N) - n(CNN)?
O Yes
O No
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