The 60 percent of 20 is 12
Let us take into
account that every time you toss a flip coin once, you get a 50-50 chance on
whether getting head or a tail. So by this statement, the more you toss your
flip coin the closer it will get to .50 if you wish to get tails for this
matter. So by simply dividing 5,100 by 10,000 you will get a result of .51.
This translates that you will be getting more than 51% in all your 10,000 coin
tosses in obtaining tails. Remember that the more you toss you coin in this
process, the higher the chances you will get.
so a box will be a rectangular prism, and thus its volume will simply be the product of its length, width and height.
let's firstly convert the mixed fractions to improper fractions and the multiply.
![\bf \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=\frac{7}{3}\\ w=2\\ h=\frac{5}{3} \end{cases}\implies V=\cfrac{7}{3}\cdot 2\cdot \cfrac{5}{3}\implies V=\cfrac{70}{9}\implies V=7\frac{7}{9}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B3%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bvolume%20of%20a%20rectangular%20prism%7D%5C%5C%5C%5C%20V%3DLwh~~%20%5Cbegin%7Bcases%7D%20L%3D%5Cfrac%7B7%7D%7B3%7D%5C%5C%20w%3D2%5C%5C%20h%3D%5Cfrac%7B5%7D%7B3%7D%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B7%7D%7B3%7D%5Ccdot%202%5Ccdot%20%5Ccfrac%7B5%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B70%7D%7B9%7D%5Cimplies%20V%3D7%5Cfrac%7B7%7D%7B9%7D)
Answer:
OR ![x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B17%7D%7B18%7D%20%2B%5Cfrac%7B-1%7D%7B18%7D%20%5Csqrt%7B3349%7D)
Step-by-step explanation:
9x2−17x−85=0
For this equation: a=9, b=-17, c=-85
9x2+−17x+−85=0
Step 1: Use quadratic formula with a=9, b=-17, c=-85.
![x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-b%20%2B%20%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
![x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}](https://tex.z-dn.net/?f=x%20%20%3D%5Cfrac%7B-%28-17%29%2B%5Csqrt%7B%28-17%29%5E%7B2%7D%20-4%289%29%28-85%29%7D%20%7D%7B2%289%29%7D)
![x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B17%7D%7B18%7D%20%2B%5Cfrac%7B-1%7D%7B18%7D%20%5Csqrt%7B3349%7D)
Answer:
Rewritten in slope-intercept form,
y = mx + b
The answer is
y = 3/5x + 2.