The path of the ball is an illustration of absolute equation.
The equation of the path is:
The given parameters are:
--- the vertex (i.e. the point where the ball hits the wall)
An absolute function is represented as:
Substitute
Substitute for x and y
Remove absolute bracket
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the path is:
See attachment for graph that models the path
Read more about absolute equations at:
When the outlier is removed The mean would increase.
<u>Step-by-step explanation:</u>
Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.
Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.
Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.
78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.
Mean =.
Mean =.
Mean =.
Mean = 84.
Remove 78 from the data set then the data set is 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85 and number of data is reduced to 15.
Mean =.
Mean =.
Mean = 84.4.
The mean is increased.