Answer:
The answer is 19.4322
Step-by-step explanation:
Answer: option C) 12
The number of trials is the number of times that she performs the experiment, i.e. the number of times she rolles the cube..
So 86 more marbles are needed in order for the class to receive a party
Recall the fundamental rule of trig:
![\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}](https://tex.z-dn.net/?f=%5Csin%5E2%28x%29%2B%5Ccos%5E2%28x%29%3D1%20%5Cquad%5Cforall%20x%20%5Cin%20%5Cmathbb%7BR%7D)
So, there exists an angle
such that
![(0.6,0.35)=(\sin(t),\cos(t))](https://tex.z-dn.net/?f=%280.6%2C0.35%29%3D%28%5Csin%28t%29%2C%5Ccos%28t%29%29)
if and only if
![\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1](https://tex.z-dn.net/?f=%5Csin%5E2%28t%29%2B%5Ccos%5E2%28t%29%3D0.6%5E2%2B0.35%5E2%3D1)
Working out the numbers, we get
![0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1](https://tex.z-dn.net/?f=0.6%5E2%2B0.35%5E2%3D0.36%2B0.1225%3D0.4825%5Cneq%201)
So, there doesn't exist a number
such that
![(0.6,0.35)=(\sin(t),\cos(t))](https://tex.z-dn.net/?f=%280.6%2C0.35%29%3D%28%5Csin%28t%29%2C%5Ccos%28t%29%29)