Answer:
Step-by-step explanation:
It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.
You win 2 ways
- H - H
- T - T
- Probability 1/2
You lose 2 ways.
- H - T
- T - H
- Probability 1/2
Expectation
E = 1/2 * 3 - 1/2 * 4
E = 1.5 - 2
E = -0.5
Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.
The answer without a doubt is 69/420
4 packages, because 24/12=2, 8/2=4 packages.
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.
Since g(x) is in the divisor position, it cannot equal 0.
Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98