Answer:
The carnival is losing (on average) $0.15 on each play
Step-by-step explanation:
To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.
Expected is the sum of the payouts of each bet multiplied by its likelihood:

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

The carnival is losing (on average) $0.15 on each play
Y-b=mx-am
y-b-mx=am
(y-b-mx)/m=a
Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

Answer:
x > -11
Step-by-step explanation:
<u>Step 1: Subtract 6 from both sides</u>
-4x + 6 - 6 < 50 - 6
-4x < 44
<u>Step 2: Divide both sides by -4</u>
-4x / -4 < 44 / -4
If you divide by a negative number, you flip the sign.
<em>x > -11</em>
Answer: x > -11
Answer:
The actual length of the lap = 250 meters
Step-by-step explanation:
∵ The scale factor of the map is 1:1000
∵ The length of the lap on the map is 25 cm
∴ 
Where x is the actual length of a lap
∴ x = (25 × 1000) ÷ 1 = 25000 cm
∵ 1 meter = 100 centimeter
∴ The actual length of the lap = 25000 ÷ 100 = 250 meters