Use the distance formula to find the distance.
<span>In a normal distribution 68.27% of the values are within one standard deviation from the mean, 95.5% of the values are within two standard deviations from the mean, and 99.7 % of the values are within three standard deviations of the mean
With that you have the answer to the three questions:
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<span>a. significantly high (or at least 2 standard deviations above the mean).
99.5% of the values are within 2 standard deviations from the mean, half of 100% - 95.5% = 4.5% / 2 = 2.25% are above the mean, so the answer is 2.25%
b. significantly low (or at least 2 standard deviations below the mean).
The other half are below 2 standard deviations, so the answer is 2.25%
c. not significant (or less than 2 standard deviations away from the mean).
As said, 95.5% are within the band of two standard deviations from the mean, so the answer is 95.5%.
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Answer is
tan º = 16/x
16/tan 33=x
x=24.637
Pretty sure b is correct because you are cross multiplying.
A) 25% = 25/100 = 0.25
b) 18% = 18/100 = 0.18
c) 40% = 40/100 = 0.40
d) 2% = 2/100 = 0.02
e) 0.15% = 0.15/100 = 0.0015