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:
f(0) = 0.25 = 1/4
f(x) = f(x-1) × 2/3
Step-by-step explanation:
a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4
a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =
= a0 × 2/3
a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =
= a1 × 2/3
=>
an = an-1 × 2/3, n >= 1
but what about negative x ?
is a0 = a-1 × 2/3 ?

so, yes, a0 = a-1 × (2/3)
and a-1 = a-2 × (2/3)
...
Answer:
13=x
Step-by-step explanation:
Side-spliting theorem
21/(x-4)=14/6
cross multiply
21*6=14*(x-4)
distribute 14
126=14x-56
add 56 to both sides
126+56=14x-56+56
leaving you with
182=14x
Divide both sides by 14 to get x by itself
182/14=14x/14
13=x
Ummm search it up on google it should be on there
Answer:
The kinetic energy of the roller coaster is 1600000 J.
Step-by-step explanation:
Given:
Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.
Now, we need to find the kinetic energy
of the roller coaster.
So, Mass of roller coaster (m) = 8000 N.
Velocity of roller coaster (v) = 20.0 m/s.
Now, putting the formula of kinetic energy:





Therefore, the kinetic energy of the roller coaster is 1600000 J.