First number: x
Second: x + 6
(x)^2 + (x + 6)^2 = 90
x^2 + x^2 + 6x + 6x + 36 = 90
Simplify more
2x^2 + 12x + 36 = 90
2x^2 + 12x - 54 = 0
2(x + 9)(x - 3) = 0
You know that x = -9, and 3
The first number is 3, the other -9
Answer:
x=3
Step-by-step explanation:
![2x+3+5x=24\\7x+3=24\\7x=21\\x=3](https://tex.z-dn.net/?f=2x%2B3%2B5x%3D24%5C%5C7x%2B3%3D24%5C%5C7x%3D21%5C%5Cx%3D3)
M can have any value because M can represent any number because it is the unknown.
Answer:
7.6811
Step-by-step explanation:
Given that is a sample of size 5, with readings as
14, 23, 31, 29, 33
Sum = 130: Hence mean = 130/5 =26
Let us find for each entry x the value x-26
X 14 23 31 29 33
(x-26)^2 144 9 25 9 49
Hence variance = average of ![(x-26)^2== \frac{236}{5} =47.20](https://tex.z-dn.net/?f=%28x-26%29%5E2%3D%3D%20%5Cfrac%7B236%7D%7B5%7D%20%3D47.20)
Std dev =![\sqrt{47.2} \\](https://tex.z-dn.net/?f=%5Csqrt%7B47.2%7D%20%5C%5C)
Population std dev = Sample std dev/sq rt (n-1)
=![\frac{\sqrt{47.2} }{\sqrt{5-1} } \\=7.6811](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B47.2%7D%20%7D%7B%5Csqrt%7B5-1%7D%20%7D%20%5C%5C%3D7.6811)