Mutually exclusive means that the intersection of the events is empty: P(S and T) = 0.
P(S or T) = P(S) + P(T) = 29% + 49% = 78%
If events S, T are not mutually exclusive, then P(S or T) = P(S) + P(T) - P(S and T)
Answer:
45
Step-by-step explanation:
73+62=135
180-135=45
180 is the whole area of the triangle
Hey there!
When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.
<u>Starting with A: </u>
Expand:
3 x 2x^2 + 3 x -x + 3 x -6
Simplify 3 x 2x^2 to 6x^2
6x^2 + 3 x -x + 3 x -6
Regroup.
6x^2 = 3x + 3 x -6
Simplify 3 x -6 to -18
6x^2 - 3x - 18
That does not match up to 6x^2-2x-20.
A is INCORRECT.
<u>Solving B:</u>
Collect like terms:
4x - 2x + 2x^2 - 20
The ones bolded are like terms.
So, we now collect them and add them.
4x^2 + 2x^2 = 6x^2
6x^2 - 2x - 20
That matches up with 6x^2-2x-20.
B is CORRECT.
<u>Solving C:</u>
Multiply the parentheses then multiply:
6x^2-12x+10x-20
Collect like terms:
6x^2 - 2x - 20
This matches up with 6x^2-2x-20.
Thus, C is CORRECT.
<u>Solving D:</u>
Multiply the terms in the parentheses by -2:
6x^2 - 2x - 2 x 10
Multiply the numbers:
6x^2 - 2x - 20
This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>
Thus, D is also CORRECT.
<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>
Thanks a ton for using Brainly! :)
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Answer:
The time may be calculated by making the equations equal each other:
2w +7 = .5w + 10
1.5w = 3
weeks = 2
Step-by-step explanation: