Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Answer:No
Step-by-step explanation:
You subtitute the x value
Answer:
x²-16
Step-by-step explanation:
x²-16 =0
Add 16 to both sides
x²-16 + 16 = 0 + 16
Simplify
x²= 16
For x²=(fa) the solutions are x = √(fa), -√(fa)
X=√16 ,X= -√16
√16=4
-√16 = -4
x=4, x= -4
Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Step-by-step explanation:
In Exercise B, the complement of an angle is 90° - ∠X
4. 90° - 45° = 45°
5. 90° - 20° = 70°
6. 90° - 30° = 60°
7. 90° - 55° = 35°
8. 90° - 75° = 15°
9. 90° - 80° = 10°
In Exercise C, the supplement of an angle is 180° - ∠X
10. 180° - 20° = 160°
11. 180° - 105° = 75°
12. 180° - 90° = 90°
13. 180° - 150° = 30°
14. 180° - 135° = 45°
15. 180° - 120° = 60°