1 1/9
To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:
2/3 = X
—————- —————-
3/5 = 1
You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.
2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.
So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
8/14 in lowest terms is 4/7
Answer:
Percentage Calculator: 18 is what percent of 53? = 33.96.
Step-by-step explanation:
that is your answer
Answer:
We need a sample size of at least 369.
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)
For this problem, we have that:
![\pi = 0.32](https://tex.z-dn.net/?f=%5Cpi%20%3D%200.32)
90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large of a sample size is required?
We need a sample size of at least n.
n is found when
. 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 = 1.645\sqrt{\frac{0.32*0.68}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.645%5Csqrt%7B%5Cfrac%7B0.32%2A0.68%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.645\sqrt{0.32*0.68}](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.645%5Csqrt%7B0.32%2A0.68%7D)
![\sqrt{n} = \frac{1.645\sqrt{0.32*0.68}}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.645%5Csqrt%7B0.32%2A0.68%7D%7D%7B0.04%7D)
![(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.32*0.68}}{0.04})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.645%5Csqrt%7B0.32%2A0.68%7D%7D%7B0.04%7D%29%5E%7B2%7D)
![n = 368.02](https://tex.z-dn.net/?f=n%20%3D%20368.02)
Rounding up
We need a sample size of at least 369.