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valentina_108 [34]
3 years ago
12

The sum of two numbers is 62 . The smaller number is 16 less than the larger number. What are the numbers?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
6 0
39 and 23!

If we broke down the problem to 62=x+y (y being the smaller number) we can solve from there. 
If y is the smaller number, then y= x-16
Therefore if we plug that back in we get 62=x+x-16 which simplifies to     62=2x-16.
Now we just solve for x which is the bigger number and we get 39. But we still have y which is 16 less so we subtract 16 from 39 to get 23.
Artyom0805 [142]3 years ago
5 0
23 and 39

23 + 39 = 62 
39 - 23 = 16 
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Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

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Step-by-step explanation:

For the given data set mean (\mu) = 5.75913

Standard deviation (\sigma) = 0.172229

Variance (\sigma2) = 0.0296

Here we get is

a)

P(x < \mu - \sigma/2) = p(x < 5.673) \\\\          = 0.3085

b)

P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085

c)

P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383

d)

25th percentile:-

= 25*[(n+1)/100]th term \\\\= 5.69

75the percentile:-

= 75*[(n+1)/100]th term\\\\ = 5.87

e)  

p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707

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( The word per means " 1 " )

6 0
2 years ago
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