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natulia [17]
3 years ago
6

Evaluate the integral: dx / e^(pie*x) from 2 (upper bound) to 0.

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Substitution:
u = - π x
d u = - π d x
d x = - d u / π 
----------------------
-1/ \pi  \int\limits^2_0 {e ^{u} } \, du =- \frac{e ^{- \pi x} }{ \pi } = \\ -1/ \pi (e ^{-2 \pi } -1) = \\ = \frac{1}{ \pi } - \frac{1}{ \pi e ^{2 \pi } }
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71 to the nearest tenth
xeze [42]

Answer:

ft76d956

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
Sean read 15 of a book in 112 hours.
makvit [3.9K]
Sean read 15 of a book in = 112 hours, 
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!
8 0
3 years ago
Write a rule that represents the function (0,0)(1,0.5)(2,2)(3,4.5)(4,8)
kirza4 [7]
The rule that represents those numbers is .....idk
6 0
2 years ago
A train travels from Washington DC to new york(225 miles). The train departs at 4:55 PM and arrives in New York at 7:55 PM. What
mylen [45]

Answer:

The average speed is:

\var{v}=75\: miles/h

Step-by-step explanation:

The average speed equation is given by:

\var{v}=\frac{\Delta x}{\Delta t}

Were:

  • Δx is the displacement (225 miles)
  • Δt is the change in time (3 hours)

Then we have:

\var{v}=\frac{225}{3}

\var{v}=75\: miles/h

I hope it helps you!

4 0
2 years ago
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