Eight divided by two times (5 plus 5)
Answer:
- 3.027
Step-by-step explanation:
First price = 10000 ; second price = 700
Number of tickets sold = 11000
Ticket cost = $4
Probability that a ticket wins grand price = 1 / 11000
Probability that a ticket wins second price = 1 / 11000
X ____ 10000 _____ 700
P(x) ___ 1 / 11000 ___ 1/11000
Expected winning for a ticket buyer :
E(X) = Σx*p(x)
E(X) = (1/11000 * 10000) + (1/11000 * 700) - ticket cost
E(X) = 0.9090909 + 0.0636363 - 4
E(X) = - 3.0272728
E(X) = - 3.027
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Answer: 
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Given: 
Find: 
Solution: It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number. If so the following steps would be followed.
<u>Expand</u>
<u>Simplify</u>
Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.
Congruent means they are the same size
To prove the two triangles are congruent you would need to know the length of at least two of the sides. If two sides were not known you would need to know the length of one side and at least one of the unknown angles.
Answer:
Step-by-step explanation:
Let one number = x
The other number = (-8) - x
Their product = 7
x*( -8 - x) = 7
x*(-8) - x*x = 7
-8x - x² = 7
0 = 7 + 8x + x²
x² + 8x + 7 = 0
x² + 7x +x +7 = 0
x(x + 7) + (x+7) = 0
(x + 7)(x + 1) = 0
x + 7 = 0 ;x + 1 = 0
x = -7 ; x = -1
The two integers are: (-7) and (-1)
