Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45
Answer:
-1
Step-by-step explanation:
We can plug in -3 for x and solve:
f(-3) = -3 + 2
= -1
20,000, so that his interest rate will be lower and he will overall save $$$
Answer:
A. x = 1/4
Step-by-step explanation:
Simplify the equation:
(3x^2+1)/(x-1) + x = 4 + 4/(x-1)
(3x^2+1-4)/(x-1) = 4-x
(3x^2-3)/(x-1) = 4-x
Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)
3(x+1)(x-1)/(x-1) = 4-x
Cancel (x-1) from the numerator and denominator:
3(x+1) = 4-x
Isolate x:
3(x+1) = 4-x
3x+3 = 4-x
4x = 1
x = 1/4.
x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.
