Answer:
39
Step-by-step explanation:
If x=1, then it's equal to 140/(1+9, or 10)+(1+4, or 5)^2, and that is equal to 140/10+5^2, or 140/10+25, and 140/10=14, and 14+25=39
brainliest pls
Answer:
x=16
Step-by-step explanation:
- Just divide it as a decimal (40/2.5)
Answer:
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Past studies suggest this proportion will be about 0.15
This means that ![p = 0.15](https://tex.z-dn.net/?f=p%20%3D%200.15)
Find the sample size needed if the margin of error of the confidence interval is to be about 0.04
This is n when M = 0.04. So
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.04 = 1.96\sqrt{\frac{0.15*0.85}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.15%2A0.85%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.96\sqrt{0.15*0.85}](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.96%5Csqrt%7B0.15%2A0.85%7D)
![\sqrt{n} = \frac{1.96\sqrt{0.15*0.85}}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%5Csqrt%7B0.15%2A0.85%7D%7D%7B0.04%7D)
![(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.15*0.85}}{0.04})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%5Csqrt%7B0.15%2A0.85%7D%7D%7B0.04%7D%29%5E%7B2%7D)
![n = 17.5](https://tex.z-dn.net/?f=n%20%3D%2017.5)
Rounding up
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Answer:
There are 18 one-third cup servings in 6 cups of pecans.
Step-by-step explanation:
52,53,54,55,56; so the second number in this sequence is 53. Hope it help!