Part (a)
<h3>
Answer: Ø</h3>
This is the empty set
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Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
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Part (b)
<h3>Answer: {1,2,3,4,5,6}</h3>
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Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is 
where I've made B the universal set to avoid confusion of the letter U and the union symbol 
which looks nearly identical.
Why does this rule work? Well if an item is in set 
, then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
- A = set of stuff inside a persons house
- = set of stuff outside a persons house (ie stuff that is not in set A)
- U = set of every item
we can see that 
will basically form the set of every item, aka the universal set.
In a geometric sequence, the common ratio can be found by dividing the second term by the first term.
6/12 = 1/2 <== ur common ratio
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.
(Right tailed test)
Sample size = 
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error = 
Test statistic = Mean diff/std error = 
Since population std deviation is not know we use t test
p value = 
Answer:
56
Step-by-step explanation:
40/10= 4 every hour
14x4=56
