Answer:
The minimum sample size required is 207.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

The margin of error of this confidence interval is:

Given:

*Use a <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
![MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207](https://tex.z-dn.net/?f=MOE%3Dz_%7B%5Calpha%20%2F2%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C3%3D2.576%5Ctimes%20%5Cfrac%7B29%7D%7B%5Csqrt%7Bn%7D%7D%20%5C%5Cn%3D%5B%5Cfrac%7B2.576%5Ctimes29%7D%7B3%7D%20%5D%5E%7B2%7D%5C%5C%3D206.69%5C%5C%5Capprox207)
Thus, the minimum sample size required is 207.
Answer:

Step-by-step explanation:
Let x = the number of $20 bills.
Then x + 6 = the number of $5 bills and
20x + 5(x + 6) = 455

x = 17 = number of $20 bills
x + 6 = 17 + 6 = 23 = number of $5 bills

Check:

OK.
The answer is x = 3. I hope this helped
Answer:

Step-by-step explanation:
We have the following quadratic equation

The factored expression will have the following form

Where b and c are two real numbers which when added together result in -1, and multiplying them results in -20

You can verify that the numbers that meet this condition are:
-5 and 4
Then the factors are:

Put 12/100 and see how many times 100 can go into 300 and the number you multiplied multiply that number by 12.