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Monica [59]
3 years ago
13

Let R = {0, 1, 2, 3} be the range of h (x ) = x - 7. The domain of h inverse is

Mathematics
2 answers:
KonstantinChe [14]3 years ago
8 0
Hello,


As h(x) is a bijection,
range(h(x))=dom(h^(-1)(x))={0,1,2,3}

Answer C
juin [17]3 years ago
7 0

Answer{1,2,3}

Step-by-step explanation:

Given

Range of h(x)={0,1,2,3}

h(x)=x-7

thus domain of h(x)=[7,10]

because for x=7 h(x)=0

x=8 h(x)=1

x=9 h(x)=2

x=10 h(x)=3

inverse of h(x) is g(x) is given by

g(x)=\frac{1}{x}-7

Therefore domain of g(x) is range of h(x)

but it will not be defined for x=0

therefore its domain is {1,2,3}

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2 years ago
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o
Ksenya-84 [330]

Answer:

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 “”

The probability mass function of poisson distribution is given by

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a).

Given that time period t = 1hr.

Then,μ = 8t

             = 8(1)

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Now,

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

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =  

              =  

              =  

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

1).P(At least 6) = P(X 6)

Consider,

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

                = 1 - {+++++}

                = 1 - (){+++++}

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                = 1 - (0.000335){570.08}

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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)

                 = 1 - {+++++

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