Answer:
-$0.90
Step-by-step explanation:
There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:
![P(W) + P(L) = 1](https://tex.z-dn.net/?f=P%28W%29%20%2B%20P%28L%29%20%3D%201)
The probability of the player making his next 3 free throws (P(W)) is:
![P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098](https://tex.z-dn.net/?f=P%28W%29%20%3D%20%5Cfrac%7B217%7D%7B302%7D%2A%5Cfrac%7B217%7D%7B302%7D%2A%5Cfrac%7B217%7D%7B302%7D%5C%5CP%28W%29%20%3D%200.37098)
The probability of the player NOT making his next 3 free throws (P(L)) is:
![P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902](https://tex.z-dn.net/?f=P%28L%29%20%3D%201%20-%20P%28W%29%20%3D%201%20-%200.37098%5C%5CP%28L%29%20%3D%200.62902)
Expected value (EV) is given by the payoff of each outcome multiplied by its probability:
![EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90](https://tex.z-dn.net/?f=EV%20%3D%20%2823%2A0.37098%29%20-%2815%2A0.62902%29%5C%5CEV%20%3D%20-%5C%240.90)
The expected value of the proposition is -$0.90
Answer:
Y=4-2x
If need step by step please message me! And yes this is the right answer!
Answer:
This question is incomplete.
Step-by-step explanation:
Where are the list of equivalent values?
One list might be 98+1414+918 (because there are 7 14's either side of the 1414.)
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. ![(3x+4)+(2x+11)=180\°](https://tex.z-dn.net/?f=%283x%2B4%29%2B%282x%2B11%29%3D180%5C%C2%B0)
Part 3) Option B. ![m](https://tex.z-dn.net/?f=m%3C5%3D77%5C%C2%B0)
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and
![m](https://tex.z-dn.net/?f=m%3C3%2Bm%3C5%3D180%5C%C2%B0)
Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that
![m](https://tex.z-dn.net/?f=m%3C3%3D%283x%2B4%29)
![m](https://tex.z-dn.net/?f=m%3C5%3D%282x%2B11%29)
so
substitute
![(3x+4)+(2x+11)=180\°](https://tex.z-dn.net/?f=%283x%2B4%29%2B%282x%2B11%29%3D180%5C%C2%B0)
Part 3) Find the measure of angle 5
we know that
![(3x+4)+(2x+11)=180\°](https://tex.z-dn.net/?f=%283x%2B4%29%2B%282x%2B11%29%3D180%5C%C2%B0)
Solve for x
![5x+15\°=180\°](https://tex.z-dn.net/?f=5x%2B15%5C%C2%B0%3D180%5C%C2%B0)
![5x=180\°-15\°](https://tex.z-dn.net/?f=5x%3D180%5C%C2%B0-15%5C%C2%B0)
![x=165\°/5\°=33\°](https://tex.z-dn.net/?f=x%3D165%5C%C2%B0%2F5%5C%C2%B0%3D33%5C%C2%B0)
![m](https://tex.z-dn.net/?f=m%3C5%3D%282x%2B11%29)
substitute the value of x
![m](https://tex.z-dn.net/?f=m%3C5%3D%282%2833%29%2B11%29%3D77%5C%C2%B0)