The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014). Northeast (N) Midwest (M) South (S) West (W) Total 2012 (A) 50 90 280 110 530 2013 (B) 60 100 330 130 620
The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014). Northeast (N) Midwest (M) South (S) West (W) Total 2012 (A) 50 90 280 110 530 2013 (B) 60 100 330 130 620
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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Question
The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012–2014.† Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the Northeast during 2012–2014).
| Northeast (N) |
Midwest (M) |
South (S) |
West (W) |
Total | |
|---|---|---|---|---|---|
| 2012 (A) | 50 | 90 | 280 | 110 | 530 |
| 2013 (B) | 60 | 100 | 330 | 130 | 620 |
| 2014 (C) | 50 | 110 | 350 | 150 | 660 |
| Total | 160 | 300 | 960 | 390 | 1,810 |
Use symbols to describe the given set.
the set of housing starts in 2013 in the West and Northeast (WHICH ONE OF THESE)
B ∩ (W ∩ N)
W ∪ (B ∪ N)
W ∩ (B ∪ N)
B ∩ (W ∪ N)
B ∪ (W ∪ N)
Compute its cardinality.
(WHAT IS THE ANSWER) = thousand
LOOK AT THE ATTACHED IMAGE FOR THE FULL QUESTION
Transcribed Image Text:The following table shows the number of new (single-unit) houses started, in thousands, in the different regions of the United States during 2012-2014.+ Take S to be the set of all housing starts represented in the table, and label the sets representing the housing starts in each row and column as shown (so, for example, N is the set of all housing starts in the
Northeast during 2012-2014).
2012 (A)
2013 (B)
2014 (C)
Total
Northeast
(N)
Bn (WnN)
WU (BUN)
Wn (BUN)
O Bn (WUN)
OBU (WUN)
50
Compute its cardinality.
thousand
60
50
Use symbols to describe the given set.
160
Midwest South West
(M) (S) (W)
90
100
110
300
280
330
350
960
110
130
150
the set of housing starts in 2013 in the West and Northeast
390
Total
530
620
660
1,810
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