Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43
Answer:
Step-by-step explanation:
Determine the best response of each player to each of the other player’s actions; plot them in a diagram and thus find the Nash equilibria of the game.
The best response for player 2 can be stated as:
(where X1 equals the dollar that a person names and Y2(X1) being the amount the person receives)
X1 Y2(X1)
0 10
1 9,10
2 8,9,10
3 7,8,9,10
4 6,7,8,9,10
5 5,6,7,8,9,10
6 5,6
7 6
8 7
9 8
10 9
Th best responses for player 1 would be the same.
Nash equilibria is the set of strategies that every person forms given no person has any incentive to change. Hence, we can say that there are 4 Nash equilibria: (5,5) , (5,6) , (6,5) , (6,6)
Answer:
B. 467
A yellow ball will be selected about 467 times.
To find how much minutes Carlos runs each mile, you must first multiply 57.75 by 1 which is 57.75 because 57 3/4 and 57.75 is the same thing. Next, you must divide 57.75 by 7. Therefore, Carlos runs 8.25 minutes a mile.
