Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
Answer:
(-6,-4)
Step-by-step explanation:
So there actually is really easy way to solve this problem(that many people will never teach you for some weird reason).
Find difference between two points first in x and y direction.
X difference = (-3 - (-8)) = 5
Y difference = (-1 - (-6)) = 5
Multiply 2/5 to each difference
X difference 5 * 2/5 = 2
y difference 5* 2/5 = 2
just add the two number to First point(point A)
-8 + 2 = -6
-6 + 2 = -4
(-6,-4)
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
x = -9
Step-by-step explanation:
-18+24 = -2(x+6) Distribute and simplify
6 = -2x-12 Add 12 to both sides
18 = -2x Divide by -2 on both sides
-9 = x Here's your answer
Hope this helps! :D
