Answer:
C
Step-by-step explanation:
Alright so for this one they want us to find the x values of angle 3 and angle 5 and those 2 angles happen to be supplementary meaning that the two angles will add up to equal 180. So to setup the equation we do
180 = 5x+10+3x+10
step 1 combine like terms ( 5x +3x and 10 + 10)
180 = 8x +20
step 2 subtract each side by 20
160 = 8x
step 3 divide each side by 8
x=20
Answer:
The answer is 1,568 in a multiplication problem.
4 x 4 x 4 = 64
3.5 x 7 = 24.5
64 x 24.5 = 1,568
Let me know if this was not what you were looking for, I may or may not be able to change it.
N would be equal to 3.2. Hope this helps
Answer:
A sample of 601 bricks will be needed.
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
.
How large a sample will we need?
A sample of n bricks will be needed.
n is found when M = 0.04.
We have no estimate for the proportion of defective bricks, so we work with the worst case scenario, which is ![M = 0.04](https://tex.z-dn.net/?f=M%20%3D%200.04)
![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{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.04%20%3D%201.96%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.04\sqrt{n} = 1.96*0.5](https://tex.z-dn.net/?f=0.04%5Csqrt%7Bn%7D%20%3D%201.96%2A0.5)
![\sqrt{n} = \frac{1.96*0.5}{0.04}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D)
![(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.04})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A0.5%7D%7B0.04%7D%29%5E%7B2%7D)
![n = 600.25](https://tex.z-dn.net/?f=n%20%3D%20600.25)
Rounding up
A sample of 601 bricks will be needed.
14.
number of grams in box / number of grams in serving = 512/56
512/56
Use long division to find your answer.
___9__ remainder: 8 = 8/56
56 I 512
-504
-------
8
Final answer: 9 8/56 servings in a box