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3 years ago

7

Let's say you are in the market to buy a car that will cost you $20,000. Shopping around for financing, you manage to get $20,00

0 loan at 4% interest for 60 months. Which of the following will be the closest final cost of your car including the interest/finance charges?

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

oof

Step-by-step explanation:

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A rectangular sign is 16.18 inches long and 4.63 inches wide. What is the perimeter of the sign in inches?

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Its 41.62

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Round 0.60666667 to the nearest cent<br><br><br><br><br><br> Please

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since .606 is higher than 5 than itd be 1 cent as in:

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2 years ago

The exponential function f(x) has a horizontal asymptote at y = 3. What is the

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2 years ago

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

Al's Awesome Autos advertised a special sale on cars - Dealer cost plus 5%!! Jack and Margaret ought a luxury sedan for $23,727.

Alex17521 [72]

105/23727.90=100/x
105x=23727.90x100
105x=2372790
(105x)/105=2372790/105
x=22598

dealers cost is $22,598

the 105% is the 100% price of the car plus the 5% of that tax or whatever it is

5 0

3 years ago