Step-by-step explanation:
Reflection in y-axis means g(x) = f(-x)
g(x) = - 3x + 7
Answer:
Ounces
Step-by-step explanation:
Metric tons and tons is too much while kg is too little.
Answer:
C.25
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find the margin of error M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
Which of the following is the smallest sample the company can take to achieve the desired margin or error?
This is n when ![\sigma = 10, M = 4](https://tex.z-dn.net/?f=%5Csigma%20%3D%2010%2C%20M%20%3D%204)
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![4 = 1.96*\frac{10}{\sqrt{n}}](https://tex.z-dn.net/?f=4%20%3D%201.96%2A%5Cfrac%7B10%7D%7B%5Csqrt%7Bn%7D%7D)
![4\sqrt{n} = 1.96*10](https://tex.z-dn.net/?f=4%5Csqrt%7Bn%7D%20%3D%201.96%2A10)
![\sqrt{n} = \frac{1.96*10}{4}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.96%2A10%7D%7B4%7D)
![(\sqrt{n})^{2} = (\frac{1.96*10}{4})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B1.96%2A10%7D%7B4%7D%29%5E%7B2%7D)
![n = 24.01](https://tex.z-dn.net/?f=n%20%3D%2024.01)
We have to round up.
So the correct answer is:
C.25
9% of $30 is $2.70. 9% of $25 is $2.25. Therefore, Mira pays $32.70 and Gus pays $27.25. 32.70-27.25=5.45. The difference in the amount of that Mira and Gus paid is $5.45.