To find how the mean is affected by an outlier, we can find the means for both of the data sets. We can find a mean by adding all of the quantities together and then dividing by how many there are. But, instead since we see that the outlier is much larger, we know that it would make the data set's mean much larger, since by adding a number that is much greater than the rest, the dividing will create an even larger number.
The center after enlargement using scale factor is (4.5,0.5).
What is Scale factor ?
The ratio between the scale of an original thing and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.
Here the given coordinate point is,
=> (x,y)=(3,1)
Now enlarging the coordinator using scale factor k
=> (x,y)= (kx,ky)
Now put k=2 then
=> (x,y)=(0.5*3, 0.5*1)
=>(x,y) = (4.5,0.5)
Hence the answer is (4.5,0.5).
To learn more about scale factor
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Let the amount invested with 5% interest be x
Therefore, the amount invested with 6% interest will be (6000-x)
It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:
Multiplying both sides by 100 we get:
Subtracting both sides by 36000 we get:
Thus, the amount invested at 5% is $2250
Therefore, the amount invested at 6% will be $(6000-2250)=$3750
Consider number 17. You know that
17=9+8.
Then for negative numbers you have the same rule (with respect to sign -):
-17=(-9)+(-8).
Since (-9)+9=9+(-9)=9-9=0, you have that
-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.
Answer: -17=(-9)+(-8).
