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1. St. Paul Island in Alaska has 12 fur seal rookeries (breeding places). In 1961, to estimate the fur seal population in the Gorbath rookery, 4963 fur seal pups were tagged in early August. In late August, a sample of 99 pups was observed and 218 of these were found to have been previously tagged. Estimate the total number of fur seal pups in this rookery. Set up a proportion first and then solve. (round to nearest whole number if necessary).
2. If a person drives 4,000 miles in 8 months, how many miles will that person drive every 2 years? Set up a proportion first and then solve.
find the eqation ofa parabola whose foci are (5,2)and whose equation of diectrix is 2x+3y=0
Approximate the value of log2 9. Explain how to figure out 3
Annual profit in thousands of dollars is given by the function, P(x) = 100vx-5 + 3,000, where x is the number of items sold in thousands, x = 5. Describe the meaning of the number 5 in the formula.
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
Write down the fixed-end boundary conditions at x = 0 and x = 1 for the displacement u(x,t), and then deduce the boundary conditions for the functionF(x).
Find an equation of the tangent line to the curve y(x) = (9/(sin(x)cos(x))+(3sin(x)/(sec(x)cos(x)) at the point (1/5 Pi, y(1/5 Pi))
A manufacture has been selling 1250 television sets a week at $390 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week.
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
A financial institution offers a "double-your-money" savings account in which you will have $2 in 7 years for every dollar you invest today. What stated annual interest rate (assuming monthly compounding) does this account offer?
In a nationwide survey, suppose 100 boys and 50 girls are sampled. What is the probability that the male sample will have at most three more days of absences than the female sample?
Billy likes to go cycling.His bike has wheels of diameter 75cm. He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 150 revolutions.How far has Billy cycled?
Determine the unit cost of each product using activity-based costing and the marketing manager indicated that the price of the DIY alternator could not be raised, as it is already somewhat higher than a major competitor's equivalent product.
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