Answer:
Total number of way to pick 3 letters is 6C3 = 20.
Step-by-step explanation:
P(E) = 3/6 = 1/2
P(O) = 3/6 = 1/2
The intersection is P(E n O) = P(E)P(O | E)
= 1/2(2/5)
= 1/5
P( E or O but not both) = P(E and not O) + P(O and not E)
(THis step is easier to understand if you shade in a venn diagram for this):
= [ P(E) - P(E n O) ] + [ P(O) - P(O n E) ]
= 1/2 - 1/5 + 1/2 - 1/5
= 1 - 2/5
= 3/5
The P (E or O or both ) is just the union of the two:
P( E U O) = P(E) + P(O) - P(E n O)
= 1/2 + 1/2 - 1/5
= 4/5
Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of 
where each variable represents a real number?
Let's expand equation 1:
Simplify each term if can:
See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have 
and if I factored from first two terms I would have 
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.
Factor the variable squared terms out of each binomial pairing:
Replace the sum of those first three terms with what it equals which is 6 from the equation 2:
Combine like terms:
Subtract 6 on both sides:
Divide both sides by 3:
Answer: -14
Step-by-step explanation:
You should get the right answer by following PEMDAS
I don’t even know :( sorry
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0
The correct factor is 5(x-5)(x+4).
