Hip Breadths and Aircraft Seats
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would be too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. Find P 98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.
For this case, the first thing we must do is define variables:
t1: time to drive uphill
t2: time to drive downhill
We now write the system of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
To rewrite this problem as an equation with a variable, we clear t2 from equation 2:
t2 = t1 - 65
We substitute equation 1 and obtain an equation with a variable:
t1 = 2 * (t1 - 65) - 10
Clearing t1 we have:
t1 = 2t1 - 130 - 10
t1 = 2t1 - 140
2t1 - t1 = 140
t1 = 140 minutes
Answer:
System of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
Equation with a variable:
t1 = 2 * (t1 - 65) - 10
the drive uphill takes:
t1 = 140 minutes
80% is the score percentage
Answer:
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Step-by-step explanation:
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