Answer:
For this type of question you might want to give a domain in a set statement
ie.24 is less than 2(13,14,15,...)
<em><u>Or</u></em>
<em>If</em><em> </em><em>my</em><em> </em><em>fi</em><em>rst</em><em> </em><em>answer</em><em> </em><em>was</em><em> </em><em>a</em><em> </em><em>deviation</em><em> </em><em>then</em><em> </em><em> you</em><em> </em><em>were</em><em> </em><em>proba</em><em>bly</em><em> </em><em>being</em><em> </em><em>ask</em><em>ed</em><em> to</em><em> </em><em>subt</em><em>ract</em><em> </em><em>2</em><em>4</em><em> </em><em>fro</em><em>m</em><em> </em><em>2</em><em>t</em><em>i</em><em>m</em><em>e</em><em>s</em><em> </em><em>a</em><em> </em><em>giv</em><em>en</em><em> </em><em>num</em><em>ber</em><em> </em><em>being</em><em> </em><em>repres</em><em>e</em><em>nted</em><em> </em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>varia</em><em>ble</em><em> </em><em>x</em>
Answer:
3
Step-by-step explanation:
Here we have the function

We want to find the following ratio:

Note that the limit of this for
is equivalent to the derivative of the function.
Here we have:

And

Therefore we have

And therefore,

Step-by-step explanation:
can you please add details to your question
Answer:
The sample size to obtain the desired margin of error is 160.
Step-by-step explanation:
The Margin of Error is given as

Rearranging this equation in terms of n gives
![n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2](https://tex.z-dn.net/?f=n%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2)
Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as
![n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n](https://tex.z-dn.net/?f=n_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM_2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%2F2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B2%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D2%5E2%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4n)
As n is given as 40 so the new sample size is given as

So the sample size to obtain the desired margin of error is 160.
Answer:
4(x + 3) / 4x + 12
Step-by-step explanation:
the image linked is showing 4 green whihc means 4x and 12 squares so I multiply 4 x 3 whihc is 12