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Answer:
a) 68 % will lie between 30 and 44 ounces
b) between 23 and 44 ounces will lie 81,5 %
Step-by-step explanation: See Annex
a) Normal Distribution N ( 37, 7)
The Empirical Rule establishes that 68 % of values will be at
μ ± 1 σ where μ is the mean and σ the standard deviation
Then: 37 - 7 = 30 and 37 + 7 = 44
68 % of the values will lie between 30 and 44 ounces
b) And between 23 and 44 we should find:
We have 95 % of values between
μ ± 2*σ
In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %
Then between 23 and 44, we have 47,5 + 34 = 81,5 %
we know that
If line WX is perpendicular to line YZ
then
see the attached figure to better understand the problem
m∠WVY=90°--------> 4a+58=90-----> 4a=90-58-----> a=32/4------> a=8°
m∠XVY=90°--------> 2b-18=90----> 2b=90+18------> b=118/2-------> b=59°
therefore
<u>the answer is</u>
a) The value of a is 8 degrees
b) The value of b is 59 degrees
