Answer:
a) - $0.169
b) - $0.04242
Step-by-step explanation:
Data provided in the question:
Bet amount = $4
Probability of losing $4 = 
Probability of gaining $4 = 
a) The expected value
= Winning amount × winning probability - Losing amount × Losing probability
= $4 ×
- $4 × 
= $4 × 
= - $0.169 (Negative sign means loss)
b) The amount lost for each dollar =
=
= - $0.04242
Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of
miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)
Answer: x=2 because for any y value the x value is always 2.
The inequality can be:

Now you divide both sides by 150 to get the #of boxes.

Lastly, x is 20. So the maximum amount of boxes that the freight elevator can hold is 20