A small outlier could affect the whole data set because it could reduce the mean, or make the average of the whole data set smaller.
An example would be the data set could be 1, 8, 9, 10
To find the mean you would add everything together then divide it by the number of numbers you just added together. The mean of this set would be 28/4 which equals 7. Now, if the outlier were -8 instead of 1, then the mean would be much different.
~Hope this helped!~
To solve this, you first have to find the number of yards in one mile.
If three feet = 1 yard, and 5280 ft = 1 mile, all you have to do to find the number of yards in a mile is divide 5280 feet by 3 feet.
You end up with 1760 yards in 1 mile.
To find the number of yards in 2 miles, all you would have to do is multiply 1760 by 2
<h3>
1760 x 2 = <u>
3520 yards</u></h3>
<span>f(x)=-6x-1
</span><span> X Y
0 -1
-1 5
6 -37
5 -31</span>
We need a system of equations here, one equation based on the NUMBER of tickets sold and another based on the MONEY earned by the sales. We have 2 different types of tickets: full price (f) and discount (d). The total number of tickets sold is 428; therefore, the first equation is f + d = 428. That accounts for the number of tickets sold. Each full price is 10.25 which can be represented as 10.25f, and each discount ticket costs 8 which can be represented as 8d. The money earned by selling these tickets at those prices was 3946. That means that the second equation is 10.25f + 8d = 3946. We will solve the first bolded equation for f to get f = 428 - d. Sub that value in for f in the second bolded equation: 10.25(428-d) + 8d = 3946. Distribute to get 4387 - 10.25d + 8d = 3946. Combine like terms to get -2.25d = -441. Solving for d we get 196. That means that there were 196 discounted tickets sold. Put that in for d in the first bolded equation to find the number of full price tickets. f + 196 = 428, and f = 232. There were 232 full price tickets sold. There you go!
Notice there are three points marked on the blue curve. The right-most point is (0,1) which is the y intercept
Now notice the red curve also has three points in a similar configuration as the blue curve. The right-most point on the red curve corresponds to the right-most point on the blue curve. The right-most point on the red curve is (2,3)
So the point (0,1) on the blue curve moves to (2,3) on the red curve.
We go from x = 0 to x = 2, therefore, the point has shifted 2 units to the right. This applies to every point on the blue curve.
So h = 2
Answer: 2
Side Notes:
1) A positive h tells us to move to the right (if h = -2 then we move 2 units to the left)
2) The value of k is k = 2 since we move 2 units up.
3) The translation rule is (x,y) --> (x+2, y+2)