Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:
![16 = \frac{4}{9}x](https://tex.z-dn.net/?f=16%20%3D%20%5Cfrac%7B4%7D%7B9%7Dx)
We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:
![16*9 = 4x](https://tex.z-dn.net/?f=16%2A9%20%3D%204x)
=
![144 = 4x](https://tex.z-dn.net/?f=144%20%3D%204x)
Then we can divide by the coefficent of x, which is 4, to get our answer:
![\frac{144}{4} = x](https://tex.z-dn.net/?f=%5Cfrac%7B144%7D%7B4%7D%20%3D%20x)
=
![36=x](https://tex.z-dn.net/?f=36%3Dx)
This is our answer! Hope this helps! :3
Answer:
90 degrees
Step-by-step explanation:
its a 45-45-90 triangle
Answer:
20 X 6
Step-by-step explanation:
20 X 6 = 120 I'm not smart but this is pretty easy
Answer:
The variance of these investment returns is 74
Step-by-step explanation:
Given:
Series = 10, 30, 15, 5, 20
To Find:
variance of a series = ?
Solution:
The variance of the series = ![Var\left(X\right)=\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}](https://tex.z-dn.net/?f=Var%5Cleft%28X%5Cright%29%3D%5Csum%20_%7Bi%3D1%7D%5En%5Cfrac%7B%5Cleft%28x_i-%5Cbar%7Bx%7D%5Cright%29%5E2%7D%7Bn%7D)
![\bar{x} = \frac{10+30 +5+15 + 20}{5}](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7B10%2B30%20%2B5%2B15%20%2B%2020%7D%7B5%7D)
![\bar{x} = \frac{80}{5}](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D%20%5Cfrac%7B80%7D%7B5%7D)
![\bar{x} =16](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%20%3D16)
Now
![(10 -16)^2 + (30 -16)^2 + (5 -16)^2 +(15 -16)^2 +(20 -16)^2](https://tex.z-dn.net/?f=%2810%20-16%29%5E2%20%2B%20%2830%20-16%29%5E2%20%2B%20%285%20-16%29%5E2%20%2B%2815%20-16%29%5E2%20%2B%2820%20-16%29%5E2)
= ![(-6)^2 + (14)^2 + (-11)^2 + (-1)^2+ (-4)^2](https://tex.z-dn.net/?f=%28-6%29%5E2%20%2B%20%2814%29%5E2%20%2B%20%28-11%29%5E2%20%2B%20%28-1%29%5E2%2B%20%28-4%29%5E2)
= 36 + 196 +121 + 1+ 16
= 370
Now
= 74
Y - y₁ = m(x - x₁)
y - 4 = -2(x - 6)
y - 4 = -2(x) + 2(6)
y - 4 = -2x + 12
+ 4 + 4
y = -2x + 16
The answer is D, (6, 4).