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3 years ago

Use the information given to enter an equation in standard form.

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

y=1.6x-8.4

Step-by-step explanation:

First, find the slope which is y 2 minus y 1 divided by x 2 minus x 1

Slope= 16/10 or 1.6

So now it is y=16/10x + b or y=1.6x+b

Now pick a random coordinate and substitute to find y intercept we can use the first one (29,38)

38=1.6(29)+b

y intercept = -8.4

Equation is y=1.6x - 8.4 or y=16/10x - 8.4

Hoped this helped :)

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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

How to convert 20 into a fraction

zhuklara [117]

The answer would be 20 over 1 bevause if you do 20 ×1 you get 20. So the would be 20 over 1.

5 0

3 years ago

Read 2 more answers

The square with side length 2 cm is dilated by a scale factor of 7/3 is the dilated image larger or smaller than the original im

qwelly [4]

Length of square side= 2 cm
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Simplify 7/3= 2.33
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As the length of the side of the square is increased in length, which means the dilated image is larger than the original image.

Answer: Larger than then original.

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3 years ago

How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable

Vlada [557]

In this case, all letters are unique.

Start by holding the first letter:
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E - MXA
E - AXM
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This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
For 5 unique characters, it is 5x4x3x2x1
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3 years ago

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Sveta_85 [38]

Answer:

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2 years ago