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In a standard deck of cards, what is the smallest number of cards you must draw to guarantee that you have at least one pair?
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
A bankroll contains ten one-dollar bills and five ten-dollar bills. Two of these are stolen and their denomination is unknown. If a bill is chosen at random from those left, what is the probability that it will be a ten-dollar bill?
The dimensions of a closed rectangular box are measured as 90 cm, 65 cm, and 34 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
Ecologists estimated that when population of a city is x thousand persons, the average level carbon monoxide in the air above the city will be L ppm(parts per million) where L=10+0.4x+0.0001x^2 .
A regression analysis between sales
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
Determine if this argument is correct, using symbolic logic and a truth table. If it is not correct, explain what is wrong with the argument, and change the minor premise to make a correct argument.
The formula d = sqrt 15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Write a formula to express the following sentence: The sale price is 20% off the original price. Use S for sale price and P for original price to express S as a function of P.
If this card were using the interest rates of 30 years ago, how much interest would your card charge you this month?
If you plan to drive the new car for 120,000 miles over the next 10 years, which car is the better buy? Use mathematical reasoning to justify your responses.
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