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During the first part of a trip a canoeist travels 68 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hrs. What was the speed on each part of the trip?
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
Let (S,d) be a metric space and define the function u(x,y) = d(x,y)/(1+d(x,y)) for all x,y
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form, the slope-intercept form or the standard form line.
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
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