Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:
![Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B%5Ctext%7BSum%20of%20observations%7D%7D%7B%5Ctext%7BNumber%20of%20observation%7D%7D)
The mean of set of a is:
![Mean=\dfrac{200+104+100+160}{4}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B200%2B104%2B100%2B160%7D%7B4%7D)
![Mean=\dfrac{564}{4}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B564%7D%7B4%7D)
![Mean=141](https://tex.z-dn.net/?f=Mean%3D141)
The mean of set of b is:
![Mean=\dfrac{270+400+483+300+x}{5}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B270%2B400%2B483%2B300%2Bx%7D%7B5%7D)
![Mean=\dfrac{1453+x}{5}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B1453%2Bx%7D%7B5%7D)
![Mean=\dfrac{1453+x}{5}](https://tex.z-dn.net/?f=Mean%3D%5Cdfrac%7B1453%2Bx%7D%7B5%7D)
It is given that,
Mean of set a: mean of set b= 3:8
![\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B141%7D%7B%5Cdfrac%7B1453%2Bx%7D%7B5%7D%7D%3D%5Cdfrac%7B3%7D%7B8%7D)
![\dfrac{705}{1453+x}=\dfrac{3}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B705%7D%7B1453%2Bx%7D%3D%5Cdfrac%7B3%7D%7B8%7D)
![8\times 705=3\times (1453+x)](https://tex.z-dn.net/?f=8%5Ctimes%20705%3D3%5Ctimes%20%281453%2Bx%29)
![5640=4359 +3x](https://tex.z-dn.net/?f=5640%3D4359%0A%2B3x)
Isolate the variable x.
![5640-4359 =3x](https://tex.z-dn.net/?f=5640-4359%0A%3D3x)
![1281 =3x](https://tex.z-dn.net/?f=1281%0A%3D3x)
Divide both sides by 3.
![\dfrac{1281}{3} =x](https://tex.z-dn.net/?f=%5Cdfrac%7B1281%7D%7B3%7D%0A%3Dx)
![427 =x](https://tex.z-dn.net/?f=427%0A%3Dx)
Therefore, the value of x is 427.
When you see an equation with parenthesis around it, you can use this:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Otherwise known as PEMDAS.
We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:
-2x^2 - 10x + 8
See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:
+ and + always equals +.
- and - always equals +.
- and + always equals -.
+ and - always equals -.
So that's it! Just to be clear, the answer is:
-2x^2 - 10x + 8
Hope I helped, sorry if I'm wrong!
`Mschmindy
Yeah there all right but I have a little hinch for the last and first one
If you graph out y = x^2 - 1, you'll see that it is a curved parabola. It is not a straight line. So visually this shows the equation is not linear. It's considered nonlinear.
Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.
I didn't round by the answer would be 115.575042 miles per second.