Answer:
A. (x - 4)² = 3
Step-by-step explanation:
You need to change the equation so that you can make a square. To get a square, you need to analyze the terms.
x² has a a coefficient of one, so you don't have to worry about that.
13 is going to be changed so that it can be a square.
8x is what you should be looking at. For a square, the middle term is the number multiplied by 2. This means that the square was (x - 4)².
A square, when expanded, has the square of the number as the last term. This means that your last term should be 16. You need to add 3 to both sides of the equation to make this true.
x² - 8x + 13 = 0
x² - 8x + 13 + 3 = 0 + 3
x² - 8x + 16 = 3
(x - 4)² = 3
Answer:
Domain: (-5,-4,-3,-2,-1,0,1,2,3,4,5)
Range: (0,1,2,3,4, -1, -2)
Step-by-step explanation:
Domain means all of the x-axis values on the graph, so for example in (-2,0), -2 would be part of the domain and 0 part of the range. Therefor, what you would do would be take all of the plots and put all x values as the domain and all y values as the range. Hope this helped!
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.
The answer to the equation is 2.5
Answer:
maybe 20
Step-by-step explanation:
or find it out yourself
