The Expected value of a draw from the given question is; A; 0.77
We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.
Since you earn 10 points for each face card, it means that;
total possible gain = 10 × 3 × 4 = 120
In a deck of cards, there are a total of 52 cards.
This means that;
Number of cards that are not K, Q or J = 52 - (4 × 3) = 40
Since 2 points are lost for drawing any of this 40 cards, then;
Total possible loss = 40 × 2 = 80
Expected gain = 120 - 80
Expected gain = 40
Expected value of a draw = 40/52
Expected value of a draw = 0.77
Read more about expected value at; brainly.com/question/1450915
Answer:
r = -4
Step-by-step explanation:
If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.
This creates the equation 1-8r=13-5r.
Now it's just simple algebra.
You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.
Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.
Answer:
a
Step-by-step explanation:
Answer:
953.78 in^3 of grain.
Step-by-step explanation:
The volume of a cylinder = π r^2 h.
For this cylinder r = radius of the base = 9/2
= 4.5 in and the height h = 15 in
So the volume is 3.14 * 4.5^2 * 15
= 953.78 in^3.
