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MrMuchimi
3 years ago
15

Right angle triangle problem solve for x

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
Since the side labeled 3 is 1/3 of 9 it's safe to assume the angle opposite is 1/3 of 90 degrees, making it 30 degrees. Here we are gonna use sin. The formula is gonna be sin(30)=3/x which can be turned into x(sin(30))=3 then divide both sides by sin(30) getting x=6. For Y, you're going to do Pythagorean Theorem. First, take 6^2 and subtract 3^2 which is 25 then square root that to get 5 which is the height of the smaller triangle. Then Pythagorean theorem again, 5^2 plus 9^2 equals 106 square root that to get roughly 10.3. Getting you the answeres of X=6 and Y=10.3 
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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)

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= 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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