A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.8 in, The survey also found that men's heights are normally distributed with mean 68.6 in and sitandard deviation 3.8 in Consider an executive jet that seats six with a doorway height of 56.3 in. Complete parts (a) through (c) below a. What percentage of adult men can fit through the door without bending? The percentage of men who can fit without bending is 0.060 %. (Round to two decimal places as needed.) b. Does the door design with a height of 56.3 in. appear to be adequate? Why didn't the engineors design a larger door? The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jot, making a larger height not practical. The door design is adequate, because the majority of people will be able to fit without bending Thus, a larger door is not needed. The door design is adequate, because although many men will not be able to fit without bending, most women will be atble to fit without bending. Thun, a larger door is not needed. O The door denign is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented. c. What doorway height would allow 40% of men to fit without bending? The doorway height that would allow 40% of men to fit without bending isin. (Round to one decimal place as needed.)

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.