Using the expected value of a discrete distribution, it is found that the amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
<h3>What is the expected value of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, considering 6 out of 6^2 = 36 outcomes are doubles, we have that the distribution is:
P(X = 5) = 1/6.
P(X = x) = 5/6.
A fair game means that the expected value is of 0, hence:



The amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
More can be learned about the expected value of a discrete distribution at brainly.com/question/24855677
15 pounds of Sugar will cost $27.81.
18.54/2=9.27. 9.27*3=27.81. So your total answer would be $27.81.
Answer: 284 cubes.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.
Knowing that the dimensions of this box are
, we get that the volume of the box is:

The formula for calculate the volume of a cube is:

Where "s" is the lenght of a side.
Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:
Dividing
by
we get the greatest number of cubes that can fit in the box:

Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
<ADB + <BDC = 180°
IT'S seen that BOTH ADB and BDC are 90 degrees
90+90= 180
Answer:
y=5x-7
-3x-2y=-12
Step-by-step explanation:
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x=-26
y=5x-7+5x2-7=10-7=3