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During the first part of a trip a canoeist travels 62 miles at a certain speed. The canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hrs. What was the speed on each part of the trip?
The altitude of an equilateral triangle is 9.2 centimeters in length. Find the perimeter of the triangle.
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
Given a structure shaped like a pyramid with a square base measuring 9 feet on a side and a height of 8 feet, what is the volume of the tent?
A rectangular field is to be fenced along two sides and two ends. It is also required to have three additional cross fences from side to side in order to form four plots as illustrated below.
Find the points where the plane z=5x-4y+3 intersects each of the coordinate axes. Find the lengths of the sides and the angles of the triangle formed by these points.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
Discrete probability distribution
the daytime maximum temp of a city is 33 degrees C. At night the temp became 26 degrees c. what is the rise in temperature from daytime to night time?
cording to Car and Driver, an Alfa Romeo going 70 mph requires 177 feet to stop. Assuming that the stopping distance is proportional to the square of the velocity, find the stopping distance required by an Alfa Romeo going at 45mph and 130mph.
What sample size is needed for this study? There is a trick in this question!! note that 3200 and 3800 are equally distant from 3500, so think two-sided!
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
the probability that a smoker will quit smoking increases with the smoker eductional level. the probabilty (expressed as a percent ) that a smoker with x years of education will quit is approximately
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