Answer:
(a) false
(b) true
(c) true
(d) true
(e) false
(f) true
(g) false
(h) true
(i) true
Step-by-step explanation:
(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False
(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.
15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is an integer multiple of 3. since 15/3=5. True
(c)∅ ⊂ A
∅ is a subset of any set. True
(d) A ⊆ A
A is a subset of itself. True
(e)∅ ∈ B
∅ is not an element, it is a subset, so it does not belong to any set. False
(f)A is an infinite set.
Yes, there are infinite integers multiple of 3. True
(g)B is a finite set.
No, there are infinite integers that are perfect squares. False
(h)|E| = 3
The number of elements that belong to E are 3. True
(i)|E| = |F|
The number of elements that belong to F are 3. So is the number of elements of E. True
False. Since the probability of one side of the coin is 3/10, the other must be 7/10.
Answer:
60.3504
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
·
×
=
=12
Answer:
301.44 inches
Step-by-step explanation:
The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.
You want to find the distance that one rotation will take you, so you need the wheel's circumference.
Circumference = 2πr
2 x 3.14 x 16 = 100.48
100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.
100.48 x 3 = 301.44
