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A train travels from city A to city B and then to city C. The distance from A to B is 120 miles and the distance from B to C is 337.5 miles. The average speed from A to B was 60 miles per hour, and the average speed from B to C was 75 mph. What was the average speed from A to C (that is for the entire trip) in miles per hour?
Maura Helba is saving for her college expenses. She sets aside $175 at the beginning of each three months in an account paying 8% annual interest compounded.
Consider a sequence of Bernoulli trials X1, X2, X3,..., when Xn =1 or 0. Assume Pr{Xn=1 l X1, X2, ..., X(n-1)} >= alpha > 0, n=1,2,... Prove that : a) Pr{Xn =1 for some n} = 1 b) Pr{Xn =1 infinitely often} =1
A pool measuring 8 meters by 22 meter is surrounded by a path of uniform width. If the area of the pool and the path combined is 392 square meters, what is thw width of the path.
What are the equivalence classes of the "congruent modulo 5" relation?
jodi poured herself a cold soda that had an initial temp of 36 degrees f and immediately went outside to sunbathe where
Assume that a ball is expanding in the speed ot 60 cubic centimeters pet minute. What is the rate of its radius change when tlie ball has radius 10 centimeter.
Analyze marketing strategies in reaching markets with their products or services.
A ship is headind due north at 12 mph. The current is flowing southwest at 4 mph. Find the acutal bearing and speed of the ship.
What interpretation can be given to the vector
Relative to polar coordinates, the position vector of an object moving in the plane can be written as r (t) = r(t)er. Verify that the velocity vector is v(t) = (dr/dt) er + r (dθ/dt)] eθ.
A box with a square base of side z is three times higher than it is wide. Express the volume V of the box as a function of z.
Consider Kn, the complete graph on n vertices. Explain how you calculated your answers.
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