Answer: 1/1024
Step-by-step explanation:
When a fair coin is flipped the coin would show either head or tail meaning only 2 outcomes are possible. So, getting an head means 50% chance or 1/2 chance.
Now, it means chance for 10 times head every time= (1/2)^10
Chance= 1/1024
Chance= 0.00097
if it has a diameter of 8, that means its radius is half that, or 4.
![\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=5 \end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill](https://tex.z-dn.net/?f=%20%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ar%3D4%5C%5C%0Ah%3D5%0A%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%284%29%5E2%285%29%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B80%5Cpi%20%7D%7B3%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7Busing~%5Cpi%20%3D3.14%7D%7BV%3D%2083.7%5Coverline%7B3%7D%7D~%5Chfill%20)
<span>96/x=100/33
(96/x)*x=(100/33)*x - we multiply both sides of the equation by x
96=3.0303030303*x - we divide both sides of the equation by (3.0303030303) to get x
96/3.0303030303=x
31.68=x
x=31.68
now we have:
33% of 96=31.68
</span>
Answer:
A. (-1 , 3)
Step-by-step explanation:
2x + y = 1
plus 3x - y = -6
------------------------------
5x = -5
x = -1
y = 1 - (2*-1) = 3
Answer:
c
Step-by-step explanation:
