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kow [346]
3 years ago
13

What are ratios of lengths of the longer leg of 30-60-90 triangle to the length of it hypotenuse

Mathematics
1 answer:
mylen [45]3 years ago
7 0
Yes it Is the correct answer
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Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?
snow_lady [41]

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 :

2x+z=1000

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.

4 0
2 years ago
HELP PLZ<br><br> 7k + 4s = 20<br> -8k + 2s = 10<br><br> What is the value of k?
Finger [1]
Divide 20 by 4=5
then 5 by 7=5/7

k=5/7
8 0
3 years ago
A total of 636 tickets were sold for the school play. They were either adult tickets or student tickets. There were 64 fewer stu
NARA [144]
Five hudred sixty two. 562
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