Intersection of two sets is the set of common elements between them.
Further Explanation:
Operations on sets are the actions that can be performed on/between sets.
Two most common operations are: Union and Intersection
Union is consists of the elements of both sets combined while intersection consists of the common elements of sets.
<u>Example:</u>
Let
The intersection is denoted by ∩.
So,
A∩B = {1,2,3,4,5} ∩ {{2,3,4,6,7}
Intersection will give the elements which will be common in both sets.
So,
A∩B= {2,3,4}
<u>Keywords:</u> Sets, Operations on sets
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<em>the difference of the means is significant because the rerandomizations show that it is outside the range of what likely happens by chance.</em>
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Answer:
It would take the newer pump 4.5 hours to drain the pool
Step-by-step explanation:
Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:
older pump: if it takes it 9 hours to complete the job, it does of the job in one hour.
newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed of the total job.
both pumps together: since it takes both 3 hours to complete the job, in one hour they do of the job.
Now, we can write the following equation about fractions of the job done:
<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:
and solving for x:
Answer:
Parameter
Step-by-step explanation:
The resulting quantity is parameter because it consists of all data values i.e. 60 states. The concept of parameter states that the population is explained by a numerical representation. Here the population consists of all 60 states of the country and average is calculated by adding the area of all 60 states and then the sum is divided by 60. The resulting value is 202,824 that is represented by μ. So, 202,824 is the population mean represented by μ. Hence the resulting value is parameter.