Answer:
factor and get 4 ( 3x + 2y )
Step-by-step explanation:
4 x 3 is 12 and 4 x 2 is 8
Answer:
72 outfits possible,
1/72 chance of selecting a particular outfit
Step-by-step explanation:
For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally
outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is ![\boxed{\frac{1}{72}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cfrac%7B1%7D%7B72%7D%7D)
A. 28
b. 67.45 repeating
c. 71.4
Answer:
a) Mean 0.11 and standard deviation 0.0044.
b) Mean 0.11 and standard deviation 0.0099.
c) Mean 0.11 and standard deviation 0.0198
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation ![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 question:
![p = 0.11](https://tex.z-dn.net/?f=p%20%3D%200.11)
a. For a random sample of size n equals 5000.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{5000}} = 0.0044](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B5000%7D%7D%20%3D%200.0044)
Mean 0.11 and standard deviation 0.0044.
b. For a random sample of size n equals 1000.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{1000}} = 0.0044](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B1000%7D%7D%20%3D%200.0044)
Mean 0.11 and standard deviation 0.0099.
c. For a random sample of size n equals 250.
Mean:
![\mu = p = 0.11](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.11)
Standard deviation:
![s = \sqrt{\frac{0.11*0.89}{250}} = 0.0198](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B0.11%2A0.89%7D%7B250%7D%7D%20%3D%200.0198)
Mean 0.11 and standard deviation 0.0198