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koban [17]
3 years ago
7

Find the distance between the points (-2,3) and (3,-9)

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

  13 units

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  = √((3 -(-2))² +(-9-3)²) = √(5² +(-12)²) = √(25 +144)

  d = √169 = 13

The distance between the points is 13 units.

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The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A de
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Answer:

a) P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4

b) P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8

c) P(A') = 1-P(A) =1-0.4=0.6

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Step-by-step explanation:

We have the following space provided:

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P(a) =0.1, P(b)=0.1, P(c) =0.2, P(d)=0.4, P(e)=0.2

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A= [a,b,c], B=[c,d,e]

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P(A) = 0.1+0.1+0.2 = 0.4

P(B) =0.2+0.4+0.2=0.8

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P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4

b. P(B)

P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8

c. P(A’)

From definition of complement we have this:

P(A') = 1-P(A) =1-0.4=0.6

d. P(AUB)

Using the total law of probability we got:

P(A \cup B) =P(A) +P(B)-P(A \cap B)

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e. P(AnB)

The intersection between the set A and B is the element c so then we have this:

P(A \cap B) = P(c) =0.2

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<u><em>Answer:</em></u>

<u><em>S L O P E</em></u>

<u><em>Explain:</em></u>

<u><em>S L O P E</em></u>

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