Answer:

Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Answer:
n=6
Step-by-step explanation:
12-6=6
The expected value is -$0.33.
The probability of winning is 1/6. The probability of losing is 5/6.
If you win, your prize is 10-2 = 8, since you paid $2 to pay the game. If you lose, you lose the $2 you spent.
The expected value would be the probability of winning, 1/6, multiplied by the winnings, 8, added to the probability of losing, 5/6, multiplied by the loss, -2:
1/6*8 + 5/6(-2) = 8/6 - 10/6 = -2/6 = -0.33
In a theatre room, there are 4 rows of chairs. There are 4 columns of chairs. How many chairs are there in the theatre room?
4x4=16
There are 16 chairs in the theatre room.