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Mrrafil [7]
2 years ago
15

"A consultant compiled the following data set that shows" the number of visits made to the National Museum of American History f

rom 2001 to 2015. The consultant noticed that the number of visits in 2007 and 2008 seemed unusually low compared to the rest of the data set. What should the consultant do about the data points from 2007 and 2008?Year Visits2015 4,100,0002014 4,000,0002013 4,900,0002012 4,800,0002011 4,600,0002010 4,200,0002009 4,400,0002008 480,0002007 02006 2,400,0002005 3,000,0002004 2,900,0002003 2,600,0002002 4,200,0002001 5,200,000
Mathematics
1 answer:
aalyn [17]2 years ago
3 0

Answer:

Step-by-step explanation:

The best option is for the consultant to remove these data points because they are outliers.  Unusual data points which are located far from rest of the data points are known as outliers.

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What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot
ExtremeBDS [4]

Answer:

18\sqrt2

Step-by-step explanation:

To simplify:

2 \sqrt{18}+ 3 \sqrt2+ \sqrt{162 }

First of all, let us write 18 and 162 as product of prime factors:

18 = 2 \times \underline{3 \times 3}\\162 = 2 \times \underline{3 \times 3} \times \underline{3 \times 3}

The pairs are underlined as above.

While taking roots, only one of the numbers from the pairs will be chosen.

Now, taking square roots.

\sqrt{18} =3 \sqrt2

162 = 3 \times 3 \times \sqrt 2  = 9 \sqrt2

So, the given expression becomes:

2 \sqrt{18}+ 3 \sqrt2+ \sqrt{162 } = 2 \times 3\sqrt2 + 3\sqrt2 +9\sqrt2\\\Rightarrow 6\sqrt2 + 3\sqrt2 +9\sqrt2\\\Rightarrow \sqrt2(6+3+9)\\\Rightarrow \bold{18\sqrt2}

So, the answer is:

18\sqrt2 or 18 StartRoot 2 EndRoot

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