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Rome was founded in 753 BC. The United States declared independence in 1776 AD. Use the appropriate negative number with subtraction to find the difference in time between the founding of Rome and the Declaration of Independence. Hint: Do not forget to take into account that there is no year 0 since we went from 1 BC to 1 AD.
The combined area of a square and a rectangle is 355 square centimeters. The width of the rectangle is 5 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimen..
The circumference of a sphere was measured to be 79000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
As a result of radioactive decay, heat is generated uniformly throughout the interior of the earth at a rate of 30 watts per cubic kilometer.
Assume that the inter-arrival times are exponentially distributed, with a mean of 1/λ = 1.5 minutes per customer. The ordering, preparation, and money collecting (i.e., total service time) is an upward ramp function with a minimum of 15 seconds an..
A ball of radius 16 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.
Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products.
Suppose a health insurance company identifies each member with an 8-digit account number. Define the hashing function h that first takes the first 3 digits of an account number as one number and the last 5 digits as another number, then adds them,..
Suppose a fair coin is tossed n times. Each coin toss costs 'd' dollars and the reward in obtaining 'X' heads is aX^2 + bX. Find the expected value of the net reward.
Appliance Center sells a variety of electronic equipment and home appliances. For the last 4 years, 2010 through 2013, the following quarterly sales (in $ millions) were reported.
Audrey Boles owns a home with a replacement value of $650,000. Its homeowners insurance policy has an 80% coinsurance clause and a face value of $400,000.
Assuming k ≤ n, we want to distribute k balls among n bins such that each bin may at most one ball?
The Kraft Co. manufactures computer chips at a variable cost of $4 per chip and sells them for $10 each. If the fixed cost is $12,000 per month, what is the number of chips they would need to produce at the break-even point?
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