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babunello [35]
3 years ago
8

What is y = mx b for x?

Mathematics
2 answers:
makkiz [27]3 years ago
7 0
Y=mx+b
minus b tboth sides
y-b=mx
divide both sides by m
\frac{y-b}{m}=x
iren [92.7K]3 years ago
3 0

Answer:

x is the independent variable

Step-by-step explanation:


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The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that
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Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

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Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

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Step-by-step explanation:

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