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Let us consider the price of a cube shaped stone of edge length L inches. The cost of the raw stone is proportional to its weight which is proportional to cube of its length, i.e. L*L*L or L^3 (read "L cubed") . Assuming that it cost $1000 for one cubic inch of raw stone, we can write the cost of one raw stone as 1000L^3. Let cost of polishing a square inch of the surface area of the rock is $100. Noting that the surface area of rock is proportional to the square of length, i.e. L^2 (read "L squared") we have the cost of polishing the stone as 600L^2 (note there are 6 faces to a cube).
1. Assuming there is no other cost, write down an expression for the cost of the finished stone and identify the different terms in it.
2. What are the factors for each of these terms? Are there any factors common to these terms here?
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
During the first part of a trip, a canoeist travels 48 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip ata speed 5 mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip..
Find the probability of receiving a phone call during office hours between 12:00 p.m. and 5:00 p.m. You may assume phone calls are equally likely at any time of the day.
Find the dimensions of the box with maximum possible volume that can be sent through the service, assuming that the width and height of the box are equal.
In a rooted binary tree with 16 vertices, there must be a path of length 4. No tree has a Hamilton path.
An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 250 miles per hour. What is the speed of the airplane?
Assume it is equally likely that any number of people between 91-120 show up for the flight. How much , on average expected profit will the flight generate?
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
Use a two sided test at the alpha level.
Kernel of phi, Let phi is a homomorphism from Z30 onto a group order 3
A particle moves according to the law d2y/ dx2 = 3x2 if y=3/4 when x = 0 and y = 2 when x = 1 find the value of y.
You have just graduated from college and landed your first big job. You have always dreamed of being a homeowner, and after carefully shopping for your dream home, you find one that you would like to purchase at a cost of $250,000.
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