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:

Step-by-step explanation:
The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:
General form of a line:

Point:

Distance:

Convert the equation:
|<em>subtract
from both sides</em>
|<em>multiply both sides by 3</em>

Coordinates of the point:

substitute:


|<em>multiply both sides by
</em>
|<em>divide both sides by 3</em>

Finally:

B. Double 5 plus 1 equals 11 and add 1 to 5 doubled equals 12.
Answer:
B) Rational, not an integer.
Step-by-step explanation:
The number is a decimal continuing forever; it is predictable. This means that it is Rational. If the number was not repeating then it would be irrational.
The number is not an integer because it is not a whole number; it is a decimal.
Answer: 
Step-by-step explanation:
Let the given parabolic mirror opens upwards and vertex=(0,0)
Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror. ∴ p=2
Since, the parabola opens upward, then the equation of the parabola is of the form 
Substitute the value of p=2 in this, we get the equation of the parabolic mirror

Hence, the equation of the parabola that models the cross section of the mirror is 