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:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= 
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x 





x^1 = -2.05285
Now
x^2 

x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
Answer:
8n/9 - 4/3
Step-by-step explanation:
Answer: <em>Parallel lines</em>
Step-by-step explanation:
<em>These lines are </em><em>Parallel</em><em> due to the fact that they will never cross each other. Since they are both perfectly lined up with each other, this makes them </em><em>Parallel.</em>
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27