Answer:
98 ft
Step-by-step explanation:
28x2 + 19x2
=98
U need to take the measurement of BA and multiply that by AC to get BC
Answer:
5/4 =x
7/4 =y
Step-by-step explanation:
We can use proportions to solve. Put the small triangle side over the big triangle side
5 8
---------- = -------------
5+x 10
Using cross products
5*10 = 8(5+x)
Distribute
50 = 40+8x
Subtract 40 from each side
50-40 =40-40+8x
10 = 8x
Divide by 8
10/8 = 8x/8
5/4 =x
7 8
---------- = -------------
7+y 10
Using cross products
7*10 = 8(7+y)
Distribute
70 = 56+8y
Subtract 56 from each side
70-56 =56-56+8y
14 = 8y
Divide by 8
14/8 = 8y/8
7/4 =y
Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
Step-by-step explanation:
Central Limit Theorem
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 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)
62% of those people get some relief from taking ibuprofen (true proportion).
This means that ![p = 0.62](https://tex.z-dn.net/?f=p%20%3D%200.62)
Sample of 100
This means that ![n = 100](https://tex.z-dn.net/?f=n%20%3D%20100)
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean ![\mu = p = 0.62](https://tex.z-dn.net/?f=%5Cmu%20%3D%20p%20%3D%200.62)
Standard deviation ![s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485](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%7B0.62%2A0.38%7D%7B100%7D%7D%20%3D%200.0485)