Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
Take a pencil put it on the paper then make sure the ink is on the paper then write
First find the circumference of the circle.
Circumference:
Plug in 20 for the radius (r).
= 125.66
The circumference of the circle is 125.66 cm.
Now to find this in meters... there are 100 centimeters in 1 meter.
Divide 125.66 by 100 to find how many meters this is.
125.66 ÷ 100 = 1.26
The circle's circumference is 1.26 meters.
The <em>xy</em>-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.
Then the equation of the plane through (6, 3, 2) that is parallel to the <em>xy</em>-plane has equation
〈<em>x</em> - 6, <em>y</em> - 3, <em>z</em> - 2〉 • 〈0, 0, 1〉 = 0
==> <em>z</em> - 2 = 0
==> <em>z</em> = 2
Answer:
a. The two players playing the game
b. No dominant strategy
c. No equilibrium
Step-by-step explanation:
a. The players are the two people playing the game of matching pennies
The strategy of the players are to meet the conditions of them keeping the pennies by having either heads or tails
The payoff of the game are as follows;
Player A keeps the two pennies when the outcome matches
Player B keeps the two pennies when the outcome does not match
The payoff of the game are as follows;
Player A
Head Tails
Player B Head 1, -1 -1, 1
Tails -1 1 1, -1
Where:
x, y
x = Player A
y = Player B
1 = Getting to keep the two pennies
-1 = Losing a penny
b. There are no best strategy because the game is one of chance whereby the result of the strategy of one player depends on the side of the penny facing up by the other player.
c. There is no equilibrium as the possible outcomes are equal hence the outcomes can be even or one sided.
