Calculate for the mean/ average of the given numbers:
μ = (1 + 2 + 3 + 4 + 5) / 5 = 3
Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10
Divide this summation by the number of items and take the square root of the result to get the standard deviation.
SD = sqrt (10 / 5) = sqrt 2
SD = 1.41
Thus, the standard deviation of the given is equal to 1.41.
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
![y=-x^2+64x-292](https://tex.z-dn.net/?f=y%3D-x%5E2%2B64x-292)
Required
Calculate the maximum amount of profit
A quadratic function is of the form
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
and its maximum, y_max is calculated using:
![y_{max} = \frac{-b}{2a}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
So for ![y=-x^2+64x-292](https://tex.z-dn.net/?f=y%3D-x%5E2%2B64x-292)
By comparison with ![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
We have that:
and ![c = -292](https://tex.z-dn.net/?f=c%20%3D%20-292)
![y_{max} = \frac{-64}{2*-1}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-64%7D%7B2%2A-1%7D)
![y_{max} = \frac{-64}{-2}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-64%7D%7B-2%7D)
![y_{max} = 32](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%2032)
<em>Hence, the maximum amount of profit is 32</em>
Well the goal of this problem is to get x alone.... So divide 100 by 25 and you get 4.... So x=4
Hope that helps :)
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
Answer:
y = 42
Step-by-step explanation:
180-90-48=42