Chapter 1:
Section 2.
No. 10.
Is a member
No. 12
Is not a member
No. 14
Is not a member
No. 28
{1}
No. 30
{0, 1, 2, 3, 4, 5, 6, 7, 8}
No. 32
{3, 4, 5, 6}
No. 34
{9}
No. 36
(1, 2, 3, ....}
No. 38
{WangB, Gull, WhrEnf, HomeSh}
No. 40
{WhrEnf, EchBg, WDigital}
No. 42
{ENSCO}
No. 44
A is not equal to B (The smallest number in A is 3 and in B is 1.)
No. 46
A = B (The repetitions in B do not affect this.)
No. 48
(a) D (b) C (c)
B or C
No. 50
(a) Equal (b) Not Equal
(c) Not Equal
No. 52
{}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}. All except }1,2,3}
are proper subsets.
No. 54
Null, {Null}, Only Null is a proper subset.
No. 56
{}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z}. All except {x,y,z} are
proper subsets.
No. 58
15
No. 60
15
No. 62
5
No. 64
6
No. 66
No. {} contains no elements that are not elements of {}.
No. 70
31
No. 72
Nine
Section 3.
No. 2
(a) {1, 2, 3, 4, 5, 6} (b)
{1, 2, 3, 4, 5, 6, 7} (c) {1,
3, 4, 6, 7}
No. 4
(a) (1, 3, 4, 6, 7} (b)
{1, 3, 4}
No. 6
{1, 2, 3, 4, 5, 6}
No. 8
{1, 6}
No. 16
(a) {} (b) {a, b,
c, d, f}
No. 18
(a) {c, e} (b) {}
No. 20
(a) {b, d, e, f} (b)
{a, c, e}
No. 22
(a) {} (b) {a, c,
e}
No. 24
(a) {c} (b) {b, d,
f}
No. 26
(a) {a, c} (b) {b,
d, f}
No. 28
(a) {2,3} (b) {1,
5}
Section 4
No. 2
Draw two separate circles. Do not inter link. {a, b, c} in
one, {d, e, f} in the other.
No. 4
All except the area common to both circles.
No. 6
All except the area in Circle B only.
No. 8
Area in circle B only
No. 10
Regions 5, 6, 7
No. 12
Regions 1, 3, 5
No. 14
Regions 1, 2, 3
No. 16
Region 3
Section 5
No. 2
4
No. 4
(a) 50 (b) 30
(c) 80 (d) 70
No. 6
7
No. 8
(a) 20% (b) 10%
No. 10
(a) 8 (b) 78
(c) 67 (d) 40
No. 12
(a) 40 (b) 60
(c) 15
No. 16
(a) 75 (b) 220
No. 18
His data accounts for only 28 persons; hence his figures are unreliable.
Chapter 6
Section 4.
No. 2. (4, 1)
No. 4. (2, 1)
No. 8. (4, 1)
No. 10. (3, 1)
No. 12. (2, 1)
No. 16. (-3, 5)
No. 22 (1/4, -1)
No. 32. (a)
y = 50x + 5400
(b) y = 600x + 1000
(d) x = 8; y = 5800
(e) 8 years.
Section 6.
12. 80 g A, 40 g B
Chapter 7
Section 1.
No. 28. (a)
angle alpha (b)
angle EAF
No. 30. angle BAD, angle
DAF
No. 32. (a)
angle CAD (b)
angle DAE
No. 34. (a)
angle CAF (b)
angle BAE
No. 36. 75 degrees.
No. 38. 55 degrees.
No. 40. 110 degrees.
No. 42. angles A and C
No. 44. 70 degrees.
No. 46. 200 degrees.
No. 48. (180 - x) degrees.
No. 50. (a)
30 degrees (b)
150 degrees. (c)
30 degrees.
No. 52. (a)
40 degrees (b)
(50 - x) degrees.
No. 54. (a)
71 degrees. (b)
161 degrees.
No. 56. 34
No. 58. x = 15;
30 degrees and 60 degrees
No. 60. x = 14;
82 degrees and 98 degrees.
No. 62. (a)
210 degrees. (b)
360 degrees.
No. 64. 8 degrees.
No. 66. A = 40 degrees.
B = 50 degrees. C = 90 degrees.
Section 2.
No. 18. Isosceles, right.
No. 20. Isosceles, Obtuse.
No. 22. Scalene, right.
No. 24. Isosceles, right.
No. 26. (a) and (c),
4/5 = 4.8/6
No. 28. 12.5
No. 30. 3 and 1/3
No. 32. 4
No. 34. 7.5 cm, 10 cm
No. 36. 4.5 in., 6 in., 7.5
in.
No. 38. 22.5 ft.
No. 40. 180 m
No. 42. 180 m
No. 44. 75 degrees
No. 46. C = 75 degrees,
Isosceles.
No. 48. 3240 degrees.
No. 50. 120 degrees.
No. 52. 140 degrees.
No. 54. 150 degrees.
Section 3.
No. 2. 60 ft
No. 4. 28.8 in.
No. 6. 14.1 m
No. 8. 24.4 km
No. 10. 48 in.
No. 12. 75 m
No. 14. 53 yd
No. 16. About 1.4 in.
No. 18. 25.1 m
No. 20. 27.6 m
No. 22. 18.8 in.
No. 24. 34.5 m
No. 26. 53.4 in.
No. 28. 21.2 in.
No. 30. 37.7 in.
No. 32. 15.3 in.
No. 34. 80 ft
No. 36. 776
No. 38. 22 ft
No. 40. 19 min
Section 4.
No. 2. 12 square
inches
No. 4. 16 square
meters
No. 6. 28 square
feet
No. 8. 5 square
inches
No. 10. 407 square meters
No. 12. 118 square inches
No. 14. 62.8 square inches
No. 16. 33 square inches.
No. 18. 25 cm
No. 20. 4.47 cm
No. 22. 34 ft
No. 24. 9.4 cm
No. 26. (a)
51 (b) $714
No. 28. 680 ft
No. 34. 250 ft
Section 5.
No. 16. 30 cubic feet
No. 18. 4.5 times square
root of 3 cubic inches
No. 20. About 2,670,000 cubic
meters
No. 22. (a)
V = 1880 cubic cm; S.A. = 1000 sq cm
(b) V = 628 cubic cm S.A. = 680 sq
cm
No. 26. 7230 cubic cm
No. 28. About 96.9
No. 30. 6,790,000
No. 32. About 109
No. 34. (a)
About 106 million gallons (b)
About 1300 gallons.
Chapter 10
Section 1.
No. 2. 1/2
No. 4. 2/3
No. 6. 1/2
No. 8. 9/10
No. 10. 7/10
No. 12. 1/52
No. 14. 3/13
No. 16. 8/13
No. 18. (b) 11/6
(c) 4/16 = 1/4
No. 20. 1/8
No. 22. 7/8
No. 24. (b) 1/16
(c) 1/16 (d) 1/16
No. 26. 11/20
No. 28. (a) 8/15
(b) 4/25
No. 30. (a) 2/75
(b) 1/3
No. 32. 1/36
No. 34 5/6
Section 2.
No. 2. 1/10
No. 4. 3/40
No. 6. (a)
4 (b) 1/663
No. 12. 1/17
No. 14. 1/34
Section 3.
No. 2. 1, Property
(4)
No. 6. 7/10
No. 8. 7/10
No. 10. 1/13
No. 12. 1/2
No. 14. 8/9
No. 16. 0.2
No. 18. 0.9
No. 20. 1
No. 22. 193/445
No. 24. 0
No. 26. 17/20
No. 28. 13/20
No. 30. 1/5
No. 32. 59/85
Chapter 11
Section 1.
No. 4. A population
because it includes allmembers of the team
No. 6. (a)
All colleges in the nation (b) The 50 colleges
in the sample
No. 8. (a)
All voters in the nation (b) No. Those selected
were automobile owners or telephone subscribers
No. 10. Make a card for each
player. Number them. Shuffle and select fifth card.
No. 14. (b) 35/50 =
70% (c) 13/50 = 26%
Section 2.
No. 2. Median
= (4 + 8)/2 = 6. Mean = 10.5. Median < Mean
No. 4. Mean =
51.6. Median = 60
No. 6. $60.00
No. 8. (a)
Mean = 77.3, median = 75 (b) Mean = 87.9, median
= 90 (c) Mean = 67.4, median = 66
No. 10. 1500
No. 12. 80
No. 14 40
Section 3
No. 2. (a)
24 (b) 9.67
No. 4. (a)
12 (b) 4.74
No. 10. (a) 12
(b) 4.32
No. 12. (a) 8
(b) 8 (c) 7.31 (d)
1.96 (e) 68.75% (f) 100%
Chapter 12
Section 1.
No. 2. $315.00
No. 4. $1984.00
No. 6. $240.00
No. 8. $90.00
No. 10. $400.00
No. 12. (a) $26.64
(b) $692.64
No. 14. $2295.00
No. 16. $1425.00
No 18. (a) $120.00
(b) 120.00 (c) $127.20
No. 20. (a) $162.00
(b) $18.00 (c) $171.72
No. 22. (a) $86.40
(b) It makes no difference
No. 24. $2580.40; $1580.40
No. 26. $21,796.00; $15,566.00
No. 28. $58,046.00; $43,046.00
No. 30. $48,141.00; $18,141.00
No. 36. (a) $1485.90
(b) $1628.90 (c) Bank B
Section 2.
No. 2. $20,000.00
No. 4. $136.65
No. 6. $137.29
No. 10. (a) $2.31
(b) $231.31 (c) $11.57
No. 18. $8.35
No. 20. 1.5%
No. 26. (a) $3780.00
(b) $299.00