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Veseljchak [2.6K]

2 years ago

5

the table shows the prices for games and Bella soccer league. her parents and grandmother attend a soccer game. how much theu sp

end if they all went together in one car?

1 answer:

NeX [460]2 years ago

5 0

A two-column proof contains a table with a logical series of statements and reasons that reach a conclusion. It is commonly present in geometry. Two column proofs always have two columns: statements and reasons. The other choices don’t fit in the definition of two column proof.

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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

2 years ago

Elenna [48]

Parallel lines are in the same plane, never intersect, and have the same slope.

7 0

2 years ago

Which of these observations is supported by the data in the table?Note: A rating of good or excellent means the audience liked t

hammer [34]

<span>Among those who disliked the movie, the majority were in the 26-35 age group. </span> <span>

To explain this answer, the data showed the coherent rate of like and dislike, hence the data showed among the population ages, 26-53 years old disliked the movie as chosen as the above answer. Keeping the keenness to specificities in statistics is an important aspect in interpreting and discussing the results of a specific descriptive data. In which this case, explains and clearly showed the data on first what is the rating and second who in the group was involved in this certain event or phenomenon.</span>

3 0

3 years ago

Read 2 more answers

8x - 4y = -12 solve for y

son4ous [18]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$8x - 4y = -12$

$4(2x-y)=-12

 
$ $Factor \ out \ the \ common \ term \ 4$

$2x-y=- \dfrac{12}{4}$ $Divide \ both \ sides \ by \ 4$

$2x-y=-3

 

$

$-y=-3-2x$ $Subtract \ 2x \ from \ both \ sides$

$y=3+2x$ $Multiply \ both \ sides \ by \ -1$

4 0

3 years ago

What is the quotient of <br> 6/7 and 3/14 ?

NeX [460]

Answer:

4/1 or 4

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers