Answer: 8x³ - 46x² - 15x + 18
Step-by-step explanation:
To find the volume of a rectangular prism we will multiply each of the three dimensions given
First, let's multiply 4x+3 by x-6: (4x+3)(x-6) = 4x² - 21x - 18
Then we will multiply 4x²... by 2x-1: (4x²-21x-18)(2x-1) = 8x³ - 46x² - 15x + 18
First find the possible dices rolls that give you 10, 11, and 12
Gives 10:
5,5
4,6
6,4
Gives 11 or 12:
5,6
6,5
6,6
The dice rolls have 6 * 6 = 36 possible combinations
The probability of getting a 10 is 3/32
The probability of getting an 11 or 12 is 3/32
multiplying those probabilities together with their reward/loss we have:
3/32 * -8 = -3/4
3/32 * 11 = 33/32
to make the game "fair" we need the probable amount of money you can win to be $0, so we can use the equation
-3/4 + 33/32 + (32/32 - 6/32)*x = 0
then you can just solve for x
Answer:
1
Step-by-step explanation:
Use a calculator to find sin-¹ of 0.5
Answer:
Step-by-step explanation:
Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be 
×
=
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36
There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)
The value of the objective function there is (obviously) 36.
