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Montano1993 [528]
3 years ago
8

Value of x if line a is parallel to line b

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

LINES \:  \:  AND \:  \:  ANGLES

Heya !

Check the attachment.
Hope it helps you :)

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Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
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Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = 10^{3} =1000 outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have x+y+z=1000

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

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And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3=\frac{10!}{3!7!} = 120 ways

So, 2x=2\times120=240

Thus z=1000-240=760

So, the probability is = \frac{760}{1000} = 0.76

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

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