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
15, 20, and 25 are a Pythagorean triple, (225+40=625) thus they form a right triangle. The shortest altitude of any right triangle is going to be that of the hypotenuse. All three of the right triangles formed by the altitude on hypotenuse are similar. Thus 15:25 = a:10.
a=6.
(4, ?) is on 8x - 3y = -10
The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10
8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.
8*4 - 3y = -10
32 - 3y = -10
-3y = -10 - 32
-3y = - 42
y = -42/-3
y = 14
So the coordinate is (4, 14)
Answer:
A
Step-by-step explanation:
To sovle this we must combine the numbers togther and the variables togther.
We have:
8c+6-3c-2
Lets take out the c's and combine them:
8c -3c
=
5c
Now lets take out the numbers:
6-2
=
4
Now lets put these back together and we get the expression:
5c+4
This looks like A.
Hope this helps! :D