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https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rati...
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Answer:
11). 
= 90°
12). 
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since, 
= 180°
and 
Therefore, 
= 180°
32° + + 58° = 180°
= 180° - 90°
= 90°
12. Since, 
= 32°
= 
= 180° + 32°
= 212°
Z = (X-Mean)/SD
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16%
</span>
<span>Therefore,
</span>
<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>
Five Millon four thousand and three hundred
