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valkas [14]
3 years ago
9

This graph shows a proportional relationship. What is the constant of proportionality?

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

m = \frac{3}{4}

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (4,3)

So, the constant of proportionality (k) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{3-0}{4-0}

m = \frac{3}{4}

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Answer:

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Step-by-step explanation:

Let's start writing the sample space for this experiment :

S= { (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }

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P(E)=\frac{4}{36}=\frac{1}{9} ⇒

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F = { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }

Now given two events A and B ⇒

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P(A|B)=\frac{P(A,B)}{P(B)} with P(B)>0

We need to find P(F|E) therefore we can apply the conditional probability equation :

P(F|E)=\frac{P(F,E)}{P(E)}   (I)

We calculate P(E)=\frac{1}{9} at the beginning of the question. We only need P(F,E).

Looking at the sets E and F we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒

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