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2 years ago

What is the area of a rectangular prism

Mathematics

2 answers:

lana [24]2 years ago

7 0

Answer:

A=2(wl+hl+hw)

This is the formula but what is the prism you want the area for.

Harman [31]2 years ago

6 0

Answer:

A=2

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

2 years ago

Determine which relation is a function.

Law Incorporation [45]

Its C. because that is the only one that only one x value

4 0

3 years ago

What equals 60 36 and 48

Deffense [45]

60. 1 times 60 equals 60 2 times 30 equals 60 3 times 20 equals 60 4 times 15 equals 60 5 times 12 equals 60 6 times 10 equals 60 10 times 6 equals 60 12 times 5 equals 60 15 times 4 equals 60 20 times 3 equals 60 30 times 2 equals 60 60 times 1 equals 60 1 times 36 equals 36 2 times 18 equals 36 3 times 12 equals 36 4 times 9 equals 36 6 times 6 equals 36 9 times 4 equals 36 12 times 3 equals 36 18 times 2 equals 36 36 times 1 equals 36

1 times 48 equals 48 2 times 24 equals 48 3 times 16 equals 48 4 times 12 equals 48 6 times 8 equals 48 8 times 6 equals 48 12 times 4 equals 48 16 times 3 equals 48 24 times 2 equals 48 48 times 1 equals 48

7 0

2 years ago

Read 2 more answers

Draw to show regrouping. Write how many tens and ones in the sum. Write the sum. This has me so confused.

olya-2409 [2.1K]

I am not sure, but we're you going to put up a sum.

7 0

2 years ago

Simplify the expression 8x^-4 y^-8/-2xy^5 (Note ^ equals to the power of)

krek1111 [17]

-4/x^5y^13 because since you have negative exponents on the top you switch them to the bottom

7 0

3 years ago