Any number that is divisible by 6 is already divisible by 2, but is not necessarily divisible by 12.
Counterexamples include: 6, 18, 30, 42, 54, and so on. You can find more by multiplying 6 by any odd number. However, multiplying 6 by an even number provides another "2" that would make it divisible by 12.
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
Answer: The total amount the water change was -28 gallons by the end of the week <u>OR</u> The total amount the water changed decreased 28 gallons by the end of the week. Depending on how you want to word it.
Hope this helps!
Step-by-step explanation:
<u>Create you equation:</u>
x = the total amount the water changed
d = the amount of days
x = -4d
<u />
<u>Insert the known information into the equation and solve:</u>
x = -4d
x = -4(7)
x = -28
4 pairs of pants for $18.
Divide price by quantity to get the cost of 1 pair of pants:
18 / 4 = 4.50 per pair.
Divide 27 by 4.50 to find number of pairs:
27 / 4.5 = 6
6 pairs of pants can be cleaned for $27.
Answer:
B. no, it is not low enough
A. no, it is not low enough
Step-by-step explanation:
Given that Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.
Prob for a random person booked arrive for flight = 0.86
No of persons who books and arrive for flight, X is binomial, since there are two outcomes and each person is independent of the other
The probability that if Air-USA books 24 persons, not enough seats will be available
= P(X=23)+P(x=24)
= 0.1315
B. no, it is not low enough
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The prob we got is >10% also
A. no, it is not low enough
