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denis23 [38]
2 years ago
12

Simplify this expression 8n/17n

Mathematics
2 answers:
Olenka [21]2 years ago
7 0

Answer:

\frac{8n^{2}}{17}

Andrei [34K]2 years ago
4 0

hence it can be further simplified to 8/17 or 0.4

You might be interested in
Birds arrive at a birdfeeder according to a Poisson process at a rate of six per hour.
m_a_m_a [10]

Answer:

a) time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b) P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c) P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}

And the parameter \lambda represent the average ocurrence rate per unit of time.

The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

P(T>t)= e^{-\lambda t}

a. What is the expected time you would have to wait to see ten birds arrive?

The original rate for the Poisson process is given by the problem "rate of six per hour" and on this case since we want the expected waiting time for 10 birds we have this:

time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b. What is the probability that the elapsed time between the second and third birds exceeds fifteen minutes?

Assuming that the time between the arrival of two birds consecutive follows th exponential distribution and we need that this time exceeds fifteen minutes. If we convert the 15 minutes to hours we have 15(1/60)=0.25 hours. And we want to find this probability:

P(T\geq 0.25h)

And we can use the result obtained from the definitions and we have this:

P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c. If you have already waited five minutes for the first bird to arrive, what is the probability that the bird will arrive within the next five minutes?

First we need to convert the 5 minutes to hours and we got 5(1/60)=0.0833h. And on this case we want a conditional probability. And for this case is good to remember the "Markovian property of the Exponential distribution", given by :

P(T \leq a +t |T>t)=P(T\leq a)

Since we have a waiting time for the first bird of 5 min = 0.0833h and we want that the next bird will arrive within 5 minutes=0.0833h, we can express on this way the probability of interest:

P(T\leq 0.0833+0.0833| T>0.0833)

P(T\leq 0.1667| T>0.0833)

And using the Markovian property we have this:

P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

3 0
3 years ago
Simplify the expression below. (2n/6n+4)(3n+2/3n-2)
andrezito [222]

Answer:

\frac{n}{3n-2}

Step-by-step explanation:

Given the expression:

\frac{2n}{(6n+4)} \cdot \frac{3n+2}{3n-2}

Using the distributive property: a \cdot (b+c) =a\cdot b+a\cdot c

\frac{2n}{2(3n+2)} \cdot \frac{3n+2}{3n-2}

Simplify:

\frac{2n}{2} \cdot \frac{1}{3n-2}

Simplify:

\frac{n}{3n-2}

Therefore, the simplified given expression is, \frac{n}{3n-2}

7 0
3 years ago
Read 2 more answers
The radius of a circle is 3 miles. What is the circle's area?​
BARSIC [14]

Answer:

9π miles²

Step-by-step explanation:

The area of a circle is πr²

Now we plug in 3 miles for the radius

A=πr²

A=π3²

A=9π miles²

3 0
2 years ago
In Inglis County me were 2,277 student athletes competing in spring sports in 2014. Thai was of the number which was of the numb
Anna35 [415]
2014⇒2277 athletes

2013⇒2070 athletes.
x=number of athletes in 2013
110% of x=2277
(110/100x=2277
x=(2277*100)/110=2070

2012⇒2300 athletes. 
x=number of athletes in 2012
90% of x=2070
(90/100)x=2070
x=(2070*100)/90=2300

Answer: 2300 athletes were signed up for a spring sport in 2012. 
7 0
3 years ago
Solve for X. *<br> (1 Point)<br> x + 70<br> 76°<br> 410
Yuki888 [10]

Answer:

x = -7

Step-by-step explanation:

41 + 76 + x + 70 = 180

x + 187 = 180

x = 180 - 187

x = -7

7 0
1 year ago
Read 2 more answers
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