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3 years ago

A line contains the points (0,0) and (1,4). what are all the equations that represent this line

1 answer:

7 0

Hello ;

<span>A line contains the point (0,0) : y=ax a is aslope
a = (yb -yO)/(xb -xO) B(1;4) O(0;0)
a = (4-0)/(1-0)=4
</span><span>all the equations that represent this line is : y = 4x or y-4x = 0</span>

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f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

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15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

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$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

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$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

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Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

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$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

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Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

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3 years ago

What’s Distribute -x(5x+2)

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When distributing, you multiply the term outside the brackets to all the terms in brackets.

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3 years ago

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