Answer:
The probability that a car that comes into the garage needs both an oil change and a tire rotation is 
.
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:
Denote the events as follows:
<em>X</em> = cars brought in for service need an oil change
<em>Y</em> = cars brought in for service need a tire rotation
The information provided is:
Compute the value of P (X ∩ Y) as follows:
Thus, the probability that a car that comes into the garage needs both an oil change and a tire rotation is .
Answer:
is it never gonna give you up by official rick astley
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)
(3.9*10^2)(2.3*20^6)
(3.9*100)(2.3*64000000)
(390)(147200000)
57408000000 <<< is your answer
Answer:
C.
Step-by-step explanation:
x is bisecting the baseline (cutting it in 2 halves of 6).
the third angle in the main overall triangle is 60 degrees.
remember, all angles in a triangle always add up to 180 degrees.
so, 180 - 60 - 60 = 60.
that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.
=> y = 12
and now using Pythagoras to calculate the height (x) of the triangle :
y² = x² + 6² (remember, this side is only half the baseline)
12² = x² + 6²
144 = x² + 36
x² = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
