Answer:
The Geometric Mean of 4 and 12 is 6.9
Step-by-step explanation:
Given Numbers are 4 and 12
To find : Geometric mean of the given No.
The Geometric Mean is a type of average where we multiply the nos. together and then take a square root (for two nos), cube root (for three nos) etc.
Formula for Geometric Mean is given by,
![Geometric\,Mean\,of\,x_1\,,\,x_2\,,\,x_3..x_n=\sqrt[n]{x_1\times x_2\times x_3\times\,...\,\times x_n}](https://tex.z-dn.net/?f=Geometric%5C%2CMean%5C%2Cof%5C%2Cx_1%5C%2C%2C%5C%2Cx_2%5C%2C%2C%5C%2Cx_3..x_n%3D%5Csqrt%5Bn%5D%7Bx_1%5Ctimes%20x_2%5Ctimes%20x_3%5Ctimes%5C%2C...%5C%2C%5Ctimes%20x_n%7D)
⇒ Geometric Mean of 4 and 12 = ![\sqrt{4\times12}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5Ctimes12%7D)
= ![\sqrt{48}](https://tex.z-dn.net/?f=%5Csqrt%7B48%7D)
= ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
= 6.92820323028
= 6.9
Therefore, The Geometric Mean of 4 and 12 is 6.9
Answer:
x=3
Step-by-step explanation:
we move the 1 to the other side so
it goes from -1 to a positive 1 then add it to the 14 then you will have
5x=15
to remove the x divided 5 on both sides and you get x=3
Answer: 150, 80
Step-by-step explanation:
Answer:
Population A
Step-by-step explanation:
Usually in statistics, the more we increase the sample size, the more the standard deviation decreases. Similarly, the more we decrease the sample size, the more the standard deviation increases.
Finally, the more the standard deviation or error of Variance the lesser the power to detect an effect.
In this question, Population B has a greater standard deviation and thus would not have as much power as Population A in detecting an effect.
Thus Population A with standard deviation of 2.3 will have highest power to detect an effect.
Answer:
OPTION B IS YOUR ANSWER.
You know its a quadratic when the second difference of each y value is same.
Here's what I mean.
Option B
First all x values differ by 1. So we're good on those.
Now for the y values
Which are
3, -1, -3, -3, -1
find the difference between the second and first fod each... Then do this a second time.
If it gives the same value for all the second differences... Then its quadratic.
-1-3 = -4
-3-(-1) = -3 + 1 = -2
-3-(-3) = -3 + 3 = 0
-1-(-3) = -1 + 3 = 2.
The values are -4, -2, 0, 2.
Now find the difference of these(2nd - 1st)
-2-(-4) = -2 + 4 = 2
0-(-2)= 0 + 2 = 2
2 - 0 = 2
Since all second differences gave 2 as their answer....
Option B is your Quadratic Function!!!
Hope this helps!