Answer:
The minimum sample size is ![n = 2123](https://tex.z-dn.net/?f=n%20%20%3D%202123)
Step-by-step explanation:
From the question we are told that
The margin of error is ![E = 0.028](https://tex.z-dn.net/?f=E%20%3D%20%200.028)
Given that the confidence level is 99% then the level of significance is evaluated as
![\alpha = 100 - 99](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%20100%20-%20%2099)
![\alpha = 1 \%](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%201%20%5C%25)
![\alpha =0.01](https://tex.z-dn.net/?f=%5Calpha%20%20%3D0.01)
Next we obtain the critical value of
from the normal distribution table
The value is ![Z_{\frac{ \alpha }{2} } = 2.58](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%20%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%202.58)
Now let assume that the sample proportion is ![\r p = 0.5](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%200.5)
hence ![\r q = 1 - \r p](https://tex.z-dn.net/?f=%5Cr%20q%20%3D%20%201%20-%20%5Cr%20p)
=> ![\r q = 0.50](https://tex.z-dn.net/?f=%5Cr%20q%20%3D%20%200.50)
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{ \alpha }{2} }}{ E} ]^2 * \r p * \r q](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%20%5Calpha%20%7D%7B2%7D%20%7D%7D%7B%20E%7D%20%5D%5E2%20%20%2A%20%20%5Cr%20p%20%2A%20%20%5Cr%20q)
![n =[ \frac{2.58}{ 0.028} ]^2 * 0.5 * 0.5](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%7B2.58%7D%7B%200.028%7D%20%5D%5E2%20%20%2A%20%200.5%20%2A%20%200.5)
![n = 2123](https://tex.z-dn.net/?f=n%20%20%3D%202123)
Answer:
the price will decrease by 4148
the price of the next model will be 29852
Answer:
<h2><em><u>r</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>0</u></em><em><u>.</u></em><em><u>1</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
y = rx
<em><u>Hence</u></em><em><u>,</u></em>
=> rx = y
![= > r = \frac{y}{x}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20r%20%3D%20%20%5Cfrac%7By%7D%7Bx%7D%20)
<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>y</em><em>]</em>
![= > r = \frac{1.4}{14}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20r%20%3D%20%20%5Cfrac%7B1.4%7D%7B14%7D%20)
=> <em><u>r = 0.1</u></em>
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>The</u></em><em><u> </u></em><em><u>constant</u></em><em><u> </u></em><em><u>variation</u></em><em><u> </u></em><em><u>r</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>0</u></em><em><u>.</u></em><em><u>1</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
y=6x-5
Step-by-step explanation:
Answer:
I inserted your equation into desmos calculator
, Hope this helps :)
Have a great day!!