Answer:
Decreased by 40%!
Step-by-step explanation:
At first it goes down by 10%, then 30%, so you just add them together and get decreased by 40%.
Answer:
14
Step-by-step explanation:
Substitute x = 2 into f(x)
f(2) = 7 × 2 = 14
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.
Answer:
x = 10
Step-by-step explanation:
The total length of segment PS is 52. To solve for x, we can simply add 5x (which is the length of segment PR) and x-8 (which is the length of segment RS) together and make the equation equal to 52 to solve for x.
- 5x+x-8 = 52
- 6x - 8 = 52
- 6x = 60
- x = 10
Answer:4 : 3
Step-by-step explanation:
32:48
8 : 6
4 : 3