A large outlier could affect the data set because it could make the mean larger, which just means that the average number of the set would be a lot bigger than it already is.
An example would be: 1, 3, 5, 19
19 is obviously the large outlier, so to find the mean, we would add everything together then divide by 4.
The mean would be 28/4=7 So 7 is our mean, but if the large outlier were, let's say 50, then the mean would be way larger than it already is.
~Hope this helped!~
Answer:
D
Step-by-step explanation:
Let x be Bill’s scores.
Let y be Theo’s scores.
x + y = 90
x² = y
Solve for x in the second equation.
x = √y
Put x as √y in the first equation and solve for y.
√y + y = 90
√y = 90 - y
y = (90 - y)²
y = - y² - 180y - 8100
0 = -y² - 181y - 8100
0 = (-y+81)(y-100)
-y+81=0
y = 81
y - 100 = 0
y = 100
100 does not work if we plug in to check, so y is 81.
y = 81
Put y as 81 in the first equation and solve for x.
x + 81 = 90
x = 9
Bill scored 9 goals and Theo scored 81.
I think it is c, I could be wrong though
We have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is .
If we restrict the domain of this function to either or , it will become one to one function.
Let us know find its inverse.
Upon interchanging x and y, we get:
Let us now solve this function for y.
Hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .
Hope this helps.
If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php