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3 years ago

I need to know what the variable is and please give me the equation.

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer:

$9.50 = .25x

Step-by-step explanation:

38 quarters

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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

Step2247 [10]

Answer:

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.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

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

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

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

Which has the following solution:

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

The probability of finding a value higher than x is:

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

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

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

We have to find $P(X > 35)$

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

What is the probability that at least 2 will still stand after 35 years?

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

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

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

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

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

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

4 0

3 years ago

Write an equation in slope intercept form for the graph of the line.

zhannawk [14.2K]

Y = 2x - 3

Hope this helps!!!!!

8 0

3 years ago

Help please! a= 2 b= -4 c= -3 d= 5 help and explain how to do it pleaseee

slava [35]

(2+-4)--3
(2-4)+3
(-2)+3
1

(-4-2)+-3
(-6)-3
-9

5 0

4 years ago

Carolyn paid a mechanic x dollars per hour for a 5-hour job plus $70 for parts. The total charge was less than $320. Which equat

snow_lady [41]

Answer: should be 70+50x is less than 320

Step-by-step explanation:$70 is only added once, and for 5 hours, she pays him a certain amount of $(x). I don't know if the multiple choices are valid

3 0

3 years ago

That is the screen shot for questions 5.

Klio2033 [76]

It's choice C as the root overhead bar goes over all of (x-7) and not just the x. So you have the correct answer.

f(x) = x^4+7
y = x^4+7
x = y^4+7
y^4 = x-7
y = FourthRoot(x-7)

$y = \sqrt[4]{x-7}$

7 0

3 years ago