B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
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Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.
Answer:
15
Step-by-step explanation:
0 + 1 = 1
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
9,031 ÷ 71 = 127.197183099
Hope this helps you
Brainliest would be appreciated
-AaronWiseIsBae
Answer:
-6
Step-by-step explanation:
2n can be the smallest integer, and 2n + 18 will be the largest integer.
The sum of this, divided by two, will result in the average/mean.
(2n + 2n + 18)/2 = 3
Multiply each side by 2:
(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2
2n + 2n + 18 = 6
Combine the like terms:
4n + 18 = 6
Subtract 18 from both sides:
4n + 18 - 18 = 6 - 18
4n = -12
Divide each side by 4:
4n/4 = -12/4
n = -3
Since we decided to go by 2n:
2n = 2(-3) = <u>-6</u>
Given that the loan is paid for 24 months or 2 years and the interest rate is 2.75% which is $650. In order for us to find the amount that Dr. Jones borrowed, let us put it this way. ? x 0.0275 = 650. So we divide 650 by 0.0275 and the answer is 23,636.36. Hope this answers your question.