First, you want to distribute the 6 and the -3. This turns you equation into 18n+6+3-6n=n+2. Next, put all the n's on one side and numbers on the other. 18n-6n-n=2-6-3. Then, combine. 11n=-7 -> n=-7/11. Hope this helps!
Problem 1
Do you know what a complex number is? If you do not, you can get an answer but not one you will like much.
(3x)^2 + 27 = 0 remove the brackets. Remember to square what's inside the brackets.
9x^2 + 27 = 0 Divide both terms by 9
9x^2/9 + 27/9 = 0
x^2 + 3 = 0 Subtract 3 from both sides.
x^2 = -3 Take the square root from both sides.
x = sqrt(-3) but the square root of - 3 = 3i
x = i*sqrt(3)
Problem 2
x^ - 8x + 1 = 0
a = 1
b = - 8
c = 1
x = [- -8 +/- sqrt(b^2 - 4*a*c) ]/(2*a) Quadratic formula
x = [ 8 +/- sqrt( (-8)^2 - 4(1*1)]/2 Substitute Givens and combine
x = [ 8 +/- sqrt( 64 - 4 )] /2 Subtract 4
x = [ 8 +/- sqrt (60)]/2 Break 60 into 4 * 15
x = [ 8 +/- sqrt (4*15)]/2 Notice 4 is a perfect square. sqrt4 = 2
x = [ 8 +/- 2*sqrt(15)] / 2 Divide through by 2
x = 8/2 +/- sqrt (15)
x = 4 +/- sqrt(15) the twos were gone
Let
EV----------> <span>expected value
</span>
we know that
EV = (Probability of Winning)*(Value of Winning) + (Probability of Losing)*(Value of Losing)
so
EV=0.04*(200)+0.96*(-14)-----> EV=8+(-13.44)-----> EV=-$5.44
So
she expects to lose $5.44 every time she plays (this is on average)
the answer is
-$5.44
<span>
</span>
Answer:
1/2 is your answer
Step-by-step explanation:
What you do is you have to subtract the y's together and the x's together.
6-5/3-1 = 1/2
1/2 is your answer
Answer: 
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
<u><em>Solution:</em></u>
ways the number can show
ways for your number to appear once.
ways for your number to appear twice.
ways for your number not to appear at all
expected return of the player is
