A rectangular field of length 320 m and breadth 245 m has two roads in the middle of it, 5 m wide running at
right angles to each other, one is along the length and the other along the breadth. Find the area of the roads.
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This is a classic example of finding mean and standard deviation using Z values.
From this page find the Z value corresponding to 31% area under the curve and 92% (100-8) percent area under the curve.
Math Is Fun Virtual Manipulative
Note: You'll probably be given tables to lookup in your quizzes.. they're a bit confusing. But you might as well learn how to use it.
As you know:
Z=X−μσZ=X−μσ
Put in X and Z values values twice, you'll have two linear equations. Solve them and the answer is yours!
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