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:
2.5
Step-by-step explanation:
The computation of the XW is shown below
As triangle UVX is a right angle
So
VU^2 = XU^2 - VX^2
VU^2 = 15.7^2 - 8.5^2
VU^2 = 246.49 - 72.25
VU^2 = 174.24
VU = 13.2
As VU = WX because of same point tangent
NOw XW is
= UX - UW
= 15.7 - 13.2
= 2.5
About 2.43 kg of pepper
Divide 17 by 7
Answer:
Rotation then reflection
Step-by-step explanation:
The triangle starts where the light green one is. Then it is rotated 90 degrees clockwise around the point where the hypotenuse and longer leg meet. From the sark green triangle it is reflectd to where the purple triangle is.