Multiple Choice

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

Hello sorry I don't know the history questions but I do know this one! answer: b 5/36

Step-by-step explanation:

The answer is B because the probability of picking a red is 5/12 and for white it is 4/12 and then we multiply these 5/12 × 4/12 = 5/36 so 5/36 is the probability of getting red, white hope this helps!

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irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$