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1) Jack and Jill ran a 100 meter race. Jill ran the race in 10 seconds and won by 10 meters; Jack had run only 90 meters when Jill crossed the finish line. They decide to race again, but this time Jill starts 10 meters behind the starting line. Assuming that both runners run at the same pace as before, who will will the second race and by how many seconds?
2) It takes you 60 seconds to walk from the first (ground) floor of a building to the fourth floor. How long will it take to walk from the first floor to the eighth floor (at the same pace, assuming all floors have the same height)?
3) Suppose you have a pipe with a circumference 6 cm and length 20 cm and that 10 turns of a wire are wrapped around the pipe. What is the length of the wire?
A linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r
Test at the 5% level of significance.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
What is the probability that a randomly selected chicken has hookworm? Given a randomly selected chicken has hookworm, what is the probability it is from the red house?
Estimate the regression equation. Interpret the equation. Do more bidders tend to increase or decrease the amount of the winning bid?
Check for symmetry with respect to the x and y-axis and the origin.
Prove that the subgroup of A4 generated by any element of order 2 and and any element of order 3 is all of A4. Prove that if x and y are distinct 3-cycles in S4 with x != y^-1 (x not equal to the inverse of y), then the subgroup of S4 generated by x..
A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound.
Calculating the height of the statue - find out how high is the statue?
Problems on Ages and Finding the measure of an angle with the given two sides.
Let G be an abelian group such that the operation on G is denoted additively. Show that {a is an element of G| 2a = 0} is a subgroup of G.
Determine the maximum yield function from the given data - How many trees should a farmer plant on each square Kilometer to maximize yield?
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