Answer:
The standard error of the mean is 0.0783.
Step-by-step explanation:
The Central Limit Theorem helps us find the standard error of the mean:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
The standard deviation of the sample is the same as the standard error of the mean. So
![SE_{M} = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=SE_%7BM%7D%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\sigma = 0.35, n = 20](https://tex.z-dn.net/?f=%5Csigma%20%3D%200.35%2C%20n%20%3D%2020)
So
![SE_{M} = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=SE_%7BM%7D%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![SE_{M} = \frac{0.35}{\sqrt{20}}](https://tex.z-dn.net/?f=SE_%7BM%7D%20%3D%20%5Cfrac%7B0.35%7D%7B%5Csqrt%7B20%7D%7D)
![SE_{M} = 0.0783](https://tex.z-dn.net/?f=SE_%7BM%7D%20%3D%200.0783)
The standard error of the mean is 0.0783.
112? kxkdjejeiidisiskskdkks
Answer:
4x² + 4y² + 8xy
Step-by-step explanation:
( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = 2y
( 2x + 2y )²
= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )
= 2²x² + 2²y² + 8xy
= 4x² + 4y² + 8xy
10560 is the answer for this
A.
<span>GCF(10; 2) = 2 /</span>factors of 10: 1, 2, 5, 10; factors of 2: 1, 2/
B.
GCF(4; 6) = 2 /factors of 4: 1, 2, 4; factors of 6: 1, <span>2, 3, 6/</span>
C.
GCF(6; 12) = 6 /factors of 6: 1, 2, 3, 6; factors of 12: 1, <span>2, 3, 4, 6, 12/</span>
D.
GCF(2; 24) = 2 <span>/factors of 2: 1, 2; factors of 24: 1, <span>2, 3, 4, 6, 8, 12, 24/</span>
</span>Answer: A, B and D.