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The population standard deviation for the average life expectancy for a refrigerator part is 3 years. If we want to be 95% confident that the sample life expectancy is within 1 year of the true population mean, how many randomly selected refrigerator parts would we need to examine?
Find the dimension of a cylindrical can, open at the top and of fixed surface area K, which maximize the volume. Find the non-negative number x and y such that 2x + y = 30 and xy2 is maximized
A business school claims that the average income of graduates of this school three years after graduation is $700.
Find at least three ordered pairs that satisfy the following equation and graph the line through them. Provided a graph. Show all work.
Show that the relation R on the set of all differentiable functions from R to R consisting of all pairs (f, g) such that f' (x) = g' (x).
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
This will not be paid out all at once, but will instead be paid in equal annual payments totalling $800,000, spread out over 20 years, starting immediately.
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
1) Experiment: Roll three 6-sided dice and flip a coin then record the results a) Describe a suitable sample space for the experiment that contains equally likely outcomes. b) Find the probability that the total sum of the three dice is 6 and the coi..
How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
Enter the Data set (see next page: 50 samples of employee of two offices in Dubai & Abu Dhabi) into MINITAB stat software, run the required analysis, and answer the listed questions:
Suppose 1.5" long bolts are made by another machine and have to be within 0.125" of 1.5". What is the absolute value inequality to represent this tolerance?
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