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3 years ago

6

What is the solution to this equation?

2 answers:

katrin2010 [14]3 years ago

8 0

Answer:

It would be A. X= 125

Step-by-step explanation:

25*5=125

Maksim231197 [3]3 years ago

4 0

Answer:a. x =125

Step-by-step explanation:

You might be interested in

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

I have to find the area of a trapezoid using the formula A= 1/2 (b1 + b2) (h)

DedPeter [7]

Answer:

190

Step-by-step explanation:

1/2(6+13)(5)

6+ 13 = 19*5 = 95

95/ 1/2= 190

7 0

3 years ago

Can anyone help me I don’t understand plz

Citrus2011 [14]

There we have an information of two functions $g(t)\, and \, h(t)$

Using this two functions $g(t)\, and \, h(t)$ , we need to find the composition of functions (h\circ g)(t).

The composition of two functions h and g is the new function , by performing g first and then performing h.

$(h\circ g)(t)=h(g(t))$

$g(t)=3(t+1)$

$h(t)=2t$

Composition of h and g (t) = $(h\circ g)(t)$

$=h(g(t))$

First plugin the value of $g(t)=3(t+1)$

$h(g(t))=h(3(t+1))$

$=h(3t+3)$

We know that $h(t)=2t$ , we need to find h(3t+3),

That is, to replace t by 3t+3,

$=2(3t+3)$

Now distribute 2 into 3t+3,

$=6t+6$

Now plug in $t=-6,$

$h(g(-6))=6(-6)+6$

$=-36+6 \\ =-30$

Thus the solution is (D). $h(g(-6))=-30.$

5 0

3 years ago

Read 2 more answers

PLEASE HELP!! THANK YOU!

Korvikt [17]

Answers A and C and correct for this equation.

5 0

3 years ago

Read 2 more answers

537 people attended a $100 dollar a plate fund raising dinner for the Nscc foundation. how much money did this dinner raise?

Contact [7]

Answer:

$53,700

Step-by-step explanation:

If we have 537 people coming and paying $100 each, we multiply 537 and $100

537 * $100

$53,700

4 0

3 years ago

Read 2 more answers