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cluponka [151]
3 years ago
15

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. find the probability that t

he first card is a king and the second card is a queen.
Mathematics
1 answer:
Andreyy893 years ago
6 0

there are 4 kings and 4 queens in a deck

 chance of getting a king is 1/52

 chance of getting a queen without the king being put back would be 1/51

1/52 x 1/51 = 1/2652 probability

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(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3
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Answer:  The required inverse transform of the given function is

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Step-by-step explanation:  We are given to find the inverse Laplace transform, f(t), of the following function :

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We have the following Laplace formula :

L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.

Therefore, we get

f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.

Thus, the required inverse transform of the given function is

f(t)=8t^2e^{4t}.

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3 years ago
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Answer:

(3x−y)(x+y)

5 0
2 years ago
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Chris is driving his car at a rate of 32 miles per hour. Albert is driving his car at a rate of 36 miles per hour. Both started
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Answer:

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Step-by-step explanation:

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2 years ago
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