Answer:
d X v = m
12.993 X 10.49 = 136.29657
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
For proportions, the mean is
and the standard deviation is ![s = \sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
In this problem, we have that:
.
So
![\mu = 0.82](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.82)
![s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.82%2A0.18%7D%7B225%7D%7D%20%3D%200.0256)
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
If the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
Given that the model train has a scale of 1:3 and the real train is 12 feet tall.
We are required to find the height of the model train.
Ratio shows how many times one number contains another number. A ratio is the relationship in quantity between two things. It expresses quantity of one thing in terms of another.
Ratio of model train to real train is 1 inches :3 inches.
Height of model train=12*1/4
=3 inches
Hence if the ratio of model train to real train is 1:3 and the real train is 12 feet then the model train is 3 feet long.
Learn more about ratio at brainly.com/question/2328454
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Its b because blue plus white is 16, so blue and white combined have the same as black
Hope this helps :D