Answer:
Loss of $1.20
Step-by-step explanation:
The possible outcomes for this lottery and their probabilities are:
- a 1 in 100 chance of winning $450
- a 2 in 100 chance of winning $120
- a 4 in 100 chance of winning $30
- a 93 in 100 chance of losing $10
Therefore, the expected value of this lottery when buying one ticket is:

Therefore, you are expected to lose $1.2 per ticket.
Answer:
x=9.5
Step-by-step explanation:
In order to find the answer, we know that 6x + 4x - 5 = 90
Next we want to combine like terms: 10x - 5 = 90.
Now we have to add 5 to 90 in order to get x on its own. 10x = 95
Now solve for x by dividing 95 by 10: x=9.5
Answer:
80.64
Step-by-step explanation:
12.6*6.4=80.64
Answer: False
Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Step 1: Write out equation
d(-3 + x) = kx + 9
Step 2: Distribute <em>d</em>
-3d + dx = kx + 9
Step 3: Subtract 9 on both sides
-3d + dx - 9 = kx
Step 4: Subtract dx on both sides
-3d - 9 = kx - dx
Step 5: Factor out <em>x</em>
-3d - 9 = x(k - d)
Step 6: Divide both sides by k - d
