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A ladder is leaning against the side of a building. The base of the ladder is 8 feet from the base of the building, and the top of the ladder touches the building at a point that is 15 feet above the ground. How long is the ladder?
He plans to pay the loan back in full in 5 months using his income tax refund. He can go to a finance company that will charge him 18% or to his uncle, who has greed to charge him 9%. Find the difference in the interest charges.
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
Sketch the curve for y = sin(x) between x = 0 and x = 2?, then find the total area enclosed by the curve y = sin x and the X axis between x = 0 and x = 1.7.
The percentage of households with a television tuned in to ad-supported cable increased linearly from 24.6% in 1995 to 42.5% in 2009. The percentage of households with a TV tuned into a major network decreased linearly from 47% in 1995 to 32% in 2..
A random sample of 48 days taken at a large hospital shows that averages of 38 patients were treated in the emergency room per day. The standard deviation for the population is four. Determine the 99% confidence interval of the mean number of patient..
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?
Starting with a hyperplane that does not separate the points, use the perceptron algorithm to find a separating hyperplane. Did the algorithm find the maximum margin separating hyperplane.
In the following, we are in the process of determining whether integer n = 1373 is a prime or not, using the Rabin-test. Assume that a random number generator returns a = 5. Use modular exponentiation to evaluate the relevant expressions, and disc..
Find the tangential and normal components of the position vector p(t) =
Evaluate the steady-state concentration - Under some conditions, the rate at which the concentration of a dissolved substance across a cell's membrane changes within the cell is proportional to the difference between it and the outside concentratio..
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