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A sphere of radius 1 is covered in ink and rolled around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot,
Solve the following LP problem graphically using Excel, Solve the following LP problem graphically using Excel with the computations in the cells
Which of the resource constraints profit the most and why? Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage available. Explain the sensitivity ranges.
It usually takes John 3 hours longer to do the monthly payroll than it takes Peter. They start working on it together at 9am and at 5pm, they have 85% of it done.
probability question based on contingency table
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
Find the ninety-five percent confidence interval for the standard deviation of the ounces of coffee that a machine dispenses in 12-oiince cups. Suppose the variable & normally distributed.
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
A survey of fruit tree growers showed the following: How many grew exactly two of these three? How many fruit tree growers were surveyed?
Find the probability of getting less than six correct answers.
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
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