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a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
Calculate an 89% confidence interval for the true mean number of sheep counted by insomniacs.
At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
At East Zone University (EZU) there are 565 students taking College Algebra or Calculus. 327 are taking College Algebra, 266 are taking Calculus, and 28 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.
cheryl and daryl have 85 coins.cheryl and gerald have 70 coins. cheryl does not have 75 coins. find the ratio of cheryl's coins to daryl's coins to gerald's coins.
Shawn Bixby borrowed $18,200 on a 132-day, 13% note. After 75 days, Shawn paid $3,200 on the note. On day 107, Shawn paid an additional $5,200. Use ordinary interest.
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
Calculate the coefficient of multiple determinations
A plane can fly 390 mph in still air. If it can fly 220 miles downwind in the same amount of time it can fly 170 miles upwind, find the velocity of the wind.
Explain Pat paid 1/3 of his debt one year and 1/4 of his debt the second year. At the end of the year, how much of his debt remained?
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