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Mademuasel [1]
3 years ago
11

Two light houses flash their lights every 30 seconds and 40 seconds respectively. given that they last flashed together at 10:40

Mathematics
2 answers:
Paul [167]3 years ago
8 0
If they flash at 30 and 40 seconds, then a diagram showing their timing helps

30, 60, 90, 120
40, 80, 120

So after 120 seconds, both lighthouses flash at the same time
120 sec = 2 minutes

So the answer is 10:42
Aleksandr-060686 [28]3 years ago
3 0
Find the common muliple 120seconds is 2mins herefors 10.42
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Answer:

Probability is:   $ \frac{\textbf{13}}{\textbf{51}} $

Step-by-step explanation:

From a deck of 52 cards there are 26 black cards. (Spades and Clubs).

Also, there are 26 red cards. (Hearts and Diamonds).

First, we determine the probability of drawing a black card.

P(drawing a black card) = $ \frac{number \hspace{1mm} of  \hspace{1mm} black  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm} of  \hspace{1mm} cards} $  $ = \frac{26}{52} = \frac{\textbf{1}}{\textbf{2}} $

Now, since we don't replace the drawn card, there are only 51 cards.

But the number of red cards is still 26,

∴ P(drawing a red card) = $ \frac{number  \hspace{1mm} of  \hspace{1mm} red  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm}of  \hspace{1mm} cards} $  $ = \frac{26}{51}  $

Now, the probability of both black and red card = $ \frac{1}{2} \times \frac{26}{51} $

$ = \frac{\textbf{13}}{\textbf{51}} $

Hence, the answer.

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3 years ago
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Sensitivity analysis is the study of how the uncertainty in the output of a mathematical model or system (numerical or otherwise) can be divided and allocated to different sources of uncertainty in its inputs.

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