Answer:
31/8*14/5=10*17/20
Step-by-step explanation:
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that ![\mu = 78, \sigma = 6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2078%2C%20%5Csigma%20%3D%206)
Samples of n:
This means that the standard deviation is:
![s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B6%7D%7B%5Csqrt%7Bn%7D%7D)
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is
and the shape is approximately normal.
Answer:
58 square units
Step-by-step explanation:
Take the shaded figure as a full larger rectangle minus the rectangular part which is not shaded.
Area of the full larger rectangle:
Area = length × width
Length = |12 - 2| = 10 units
Width = |8 - 1| = 7 units
Area = 10 × 7 = 70 units²
Area of the unshaded small rectangle:
Length = |10 - 4| = 6 units
Width = |3 - 1| = 2 units
Area = 6 × 2 = 12 units²
Area of the shaded figure = 70 - 12 = 58 square units
Answer:
144(3/4)^1-n
Step-by-step explanation:
This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n