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Vadim26 [7]
3 years ago
13

Esmeralda rent a car from a company that race cars by an hour she has a pair nishal fee of $52 and then they charged her $8 per

hour she has $144 available to spend on a car rental what is the greatest number of hours for which she can rent the car
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

11 hours is the most she can afford

Step-by-step explanation:


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Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that
Maksim231197 [3]

Complete Question

The Brown's Ferry incident of 1975 focused national attention on the ever-present danger of fires breaking out in nuclear power plants. The Nuclear Regulatory Commission has estimated that with present technology there will be on average, one fire for every 10 years for a reactor. Suppose that a certain state has two reactors on line in 2020 and they behave independently of one another. Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that by 2030 at least two fires will have occurred at these reactors?

Answer:

The value is P(x_1 + x_2 \ge 2 )= 0.5940

Step-by-step explanation:

From the question we are told that

     The rate at which fire breaks out every 10 years is  \lambda  =  1

  Generally the probability distribution function for Poisson distribution is mathematically represented as

               P(x) =  \frac{\lambda^x}{ k! } * e^{-\lambda}

Here x represent the number of state which is  2 i.e x_1 \ \ and \ \ x_2

Generally  the probability that by 2030 at least two fires will have occurred at these reactors is mathematically represented as

          P(x_1 + x_2 \ge 2 ) =  1 - P(x_1 + x_2 \le 1 )

=>        P(x_1 + x_2 \ge 2 ) =  1 - [P(x_1 + x_2 = 0 ) + P( x_1 + x_2 = 1 )]

=>        P(x_1 + x_2 \ge 2 ) =  1 - [ P(x_1  = 0 ,  x_2 = 0 ) + P( x_1 = 0 , x_2 = 1 ) + P(x_1 , x_2 = 0)]

=>  P(x_1 + x_2 \ge 2 ) =  1 - P(x_1 = 0)P(x_2 = 0 ) + P( x_1 = 0 ) P( x_2 = 1 )+ P(x_1 = 1 )P(x_2 = 0)

=>    P(x_1 + x_2 \ge 2 ) =  1 - \{ [ \frac{1^0}{ 0! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]] )+ ( [ \frac{1^1}{1! } * e^{-1}] * [[ \frac{1^1}{ 1! } * e^{-1}]] ) + ( [ \frac{1^1}{ 1! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]]) \}

=>   P(x_1 + x_2 \ge 2 )= 1- [[0.3678  * 0.3679] + [0.3678  * 0.3679] + [0.3678  * 0.3679]  ]

P(x_1 + x_2 \ge 2 )= 0.5940

               

3 0
3 years ago
What is the slope of (-6,8) and (-6,2)
SpyIntel [72]

Answer:

Undefined

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in (y1-y2)/(x1-x2)=(2-8)/(-6--6), or -6/0. Oh no! You can't divide by 0. Therefore, the slope is undefined.

You can also see this by graphing the line, which is a straight vertical line. Vertical lines have undefined slopes.

4 0
3 years ago
Read 2 more answers
A rectangle is 2 4/5 M wide and 3 and 1/2 meters long what is its area
postnew [5]
2 4/5=14/5, 3 1/2=7/2
A=l*w
14/5*7/2=98/10
98/10=9 8/10, 9 4/5
A= 9 4/5

Answer: Its area is 9 4/5m^2
8 0
3 years ago
Read 2 more answers
Here are the LETTERS that goes with the file<br> <br> A=3<br> B=4<br> C=6<br> D=2
Jlenok [28]

Answer:

I think 120

Step-by-step explanation:

8 0
3 years ago
Ryan’s drew rectangle ABCD on the grid . What’s the answer ?
blsea [12.9K]
I think it’s (3,4) the third answer
4 0
3 years ago
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