Answer:
Lara's average speed :
average speed = total distance / total time
=> 8 miles / 2.5 hours
=> 3.2 mph
Tim's average speed :
= total distance / total time
= 12 miles / 3.5 hours
= 3.43 mph
therefore,
Tim's average speed (3.43 mph) is greater.
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.
Answer: 3
Step-by-step explanation: This equation can be written as 4x+3x-4=17
We can now solve.
Moving the 4 to the other side (adding) and we get 21.
Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.
X = 3.
Answer:
His estimate is somewhat low.
Step-by-step explanation:
The total bill is $9.50 +3.50 = $13.00. The estimated tip is 15% of $10, so Jamal needs to add 15% of $3, or $0.45, to his estimate to leave a tip equal to 15% of the bill.
The tip Jamal has calculated is about 11.5% of the bill. (1.50/13.00 ≈ 0.1154)
The tip Jamal wants to leave is $1.95. (0.15·13.00 = 1.95)
