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ELEN [110]
3 years ago
13

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the

origin as the center of dilation, what are the coordinates of the vertices of the image?
Mathematics
1 answer:
Andreyy893 years ago
8 0

Just multiply the order pairs by 3. For example,

(2,0) times 3 = (6,0)

(3, -1) times 3 = (9,-3)

(-2,-5) times 3 = (-6, -15)

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o
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Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

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a).

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             = 8(1)

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The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

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P(X = 6) =  

              =  

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              = 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

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P(X 6) = 1 - P(X5)

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                = 1 - (){+++++}

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                = 1 - (0.000335){1+8+32+85.34+170.67+273.07}

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                = 1 - 0.1909

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Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

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5 0
3 years ago
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Step-by-step explanation:

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