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maksim [4K]
3 years ago
7

Suppose you choose a marble from a bag containing 3 red marbles, 3 white marbles, and 5 blue marbles. You return the first marbl

e to the bag and then choose again. Find P(red and blue). A.6/11 B.15/121 C.15/11 D.8/11
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0

Answer:

B.15/121

Step-by-step explanation:

  • red-3
  • white-3
  • blue-5

total-11

  • P(red)= 3/11
  • P(blue)=5/11
  • P(red+blue)= 3/11*5/11= 15/121
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3 years ago
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RoseWind [281]

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Leno4ka [110]

Answer:

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Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given:\mathcal{L}[t \cos 5t]=(-1)F'(s) with F(s)=\mathcal{L}[\cos 5t].

Now, F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt.

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

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