Since the average height is 60 inches and its deviation is 2 inches, one deviation to the right (or higher) is 62 inches (60 + 2). Two deviations is 64 inches, three deviations is 66 inches, and four deviations is 68 inches.
Since the average weight is 100 pounds and its deviation is 5 inches, we repeat the process from finding heights to get to 115 pounds. That takes three deviations.
The MORE deviations away, the more unusual it is. So the height (4 deviations) is more unusual than the weight (3 deviations).
1 1/4 because you must make improper fractions
Answer:
![-3+i\sqrt{3} , 1+\sqrt{3}](https://tex.z-dn.net/?f=-3%2Bi%5Csqrt%7B3%7D%20%2C%201%2B%5Csqrt%7B3%7D)
Step-by-step explanation:
Given that alpha and beta be conjugate complex numbers
such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.
Let
![\alpha = x+iy\\\beta = x-iy](https://tex.z-dn.net/?f=%5Calpha%20%3D%20x%2Biy%5C%5C%5Cbeta%20%3D%20x-iy)
since they are conjugates
![\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}](https://tex.z-dn.net/?f=%5Calpha-%5Cbeta%20%3D%20x%2Biy-%28x-iy%29%5C%5C%3D%202iy%3D%202i%5Csqrt%7B3%7D%20%5C%5Cy%20%3D%5Csqrt%7B3%7D)
![\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%7D%7B%5Cbeta%5E2%7D%20%7D%5C%5C%3D%5Cfrac%7Bx%2Bi%5Csqrt%7B3%7D%20%7D%7B%28x-i%5Csqrt%7B3%7D%29%5E2%7D%20%5C%5C%3D%5Cfrac%7Bx%2Bi%5Csqrt%7B3%7D%7D%7Bx%5E2-3-2i%5Csqrt%7B3%7D%7D%20%5C%5C%3D%5Cfrac%7Bx%2Bi%5Csqrt%7B3%7D%28%28x%5E2-3%2B2i%5Csqrt%7B3%7D%29%20%7D%7B%28x%5E2-3-2i%5Csqrt%7B3%29%7D%28x%5E2-3-2i%5Csqrt%7B3%7D%29%7D)
Imaginary part of the above =0
i.e. ![\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%28x%5E2-3%29%2B2x%5Csqrt%7B3%7D%20%3D0%5C%5Cx%5E2%2B2x-3%3D0%5C%5C%28x%2B3%29%28x-1%29%20%3D0%5C%5Cx%3D-3%2C1)
So the value of alpha = ![-3+i\sqrt{3} , 1+\sqrt{3}](https://tex.z-dn.net/?f=-3%2Bi%5Csqrt%7B3%7D%20%2C%201%2B%5Csqrt%7B3%7D)
Answer:
So I believe your just graphing here like a line or bar graph. Look at images in Google for references if needed.