Answer:
<h2>Domain is a ser of possible input values</h2>
<h3>Range:is a set of Y coordinates</h3>
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
Answer: ![235^{\circ}](https://tex.z-dn.net/?f=235%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
The Sum of the seven interior angles of an octagon is ![845^{\circ}](https://tex.z-dn.net/?f=845%5E%7B%5Ccirc%7D)
for a Polygon, the sum of the interior angles is given by ![(n-2)180^{\circ}](https://tex.z-dn.net/?f=%28n-2%29180%5E%7B%5Ccirc%7D)
for octagon, n=8
The Sum of interior angles is ![(8-2)360^{\circ}=1080^{\circ}](https://tex.z-dn.net/?f=%288-2%29360%5E%7B%5Ccirc%7D%3D1080%5E%7B%5Ccirc%7D)
Suppose the eighth angle be ![x](https://tex.z-dn.net/?f=x)
![\therefore x+845=1080\\\Rightarrow x=235^{\circ}](https://tex.z-dn.net/?f=%5Ctherefore%20x%2B845%3D1080%5C%5C%5CRightarrow%20x%3D235%5E%7B%5Ccirc%7D)
The
angle is ![235^{\circ}](https://tex.z-dn.net/?f=235%5E%7B%5Ccirc%7D)
Slope is
![\frac { y_{2} - y_{1}}{ x_{2} - x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%20y_%7B2%7D%20-%20y_%7B1%7D%7D%7B%20x_%7B2%7D%20-%20x_%7B1%7D%7D%20)
if we plug in your coordinates we get:
![\frac { y_{2} - y_{1}}{ x_{2} - x_{1}} \\ \frac {7-1}{2-0} \\ \frac {6}{2} \\ 3](https://tex.z-dn.net/?f=%5Cfrac%20%7B%20y_%7B2%7D%20-%20y_%7B1%7D%7D%7B%20x_%7B2%7D%20-%20x_%7B1%7D%7D%20%5C%5C%20%5Cfrac%20%7B7-1%7D%7B2-0%7D%20%5C%5C%20%5Cfrac%20%7B6%7D%7B2%7D%20%5C%5C%203)
Therefore, the slope of (0,1) and (2,7) is 3.
<em>$29178.25</em>
- Step-by-step explanation:
<em>x = p(1 - r)ⁿ</em>
<em>p = original price</em>
<em>r = 8.3% = 0.083</em>
<em>n = 5 years</em>
<em>x = $45000(1 - 0.083)⁵</em>
<em>= $45000ₓ0.917⁵</em>
<em>= $45000ₓ0.64840548256</em>
<em>= </em><em>$29178.25</em>