Answer:
A = choosing a red marble
B = choosing a green marble
Probability of A happening = P(A) = 5/(3+5+4) = 5/12
Probability of B happening = P(B) = 4/(3+5+4) = 4/12
Probability of either happening = P(A) + P(B) = 5/12 + 4/12 = 7/12
The key word in their question is red OR green and that is why we add the two probabilities. If they ask the probability of them both happening (if they said red AND green), you would multiply P(A)*P(B).
Question 1:
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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5
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Insert slope into the general equation y = mx + c
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y = 5x + c
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Find y-intercept
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At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11
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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11
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Answer: y = 5x - 11
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Question 2:
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Find Slope
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y = 9x
Slope = 9
Slope of the parallel line = 9
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Insert slope into the equation y = mx + c
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y = 9x + c
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Find y-intercept
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y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5
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Insert y-intercept into the equation
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y = 9x + c
y = 9x + 5
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Answer: y = 9x + 5
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Answer:
x= 19
If you need help with more, I'm more than happy to help you.
