Outcome on winning = $100 - $20 = $80
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A
Answer:
the correct answer is -3.125
Step-by-step explanation:
Answer:
2 scones per dollar
$0.50 per scone
Step-by-step explanation:
Answer:
(4,2)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinates divided by 2
( 1+7)/2 = 8/2 = 4
The y coordinate of the midpoint is the sum of the y coordinates divided by 2
( 2+2)/2 = 4/2 = 2
The midpoint is (4,2)
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.