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rosa works due north of home. her husband works due east. they leave for work at the same time. by the time rosa is 7 miles from home, the distance between them is one mile more than bens distance from home. how far from home is ben?
Objective question based on probability distribution.
The peremiter of a cross section of a piece of lumber is 34 1/2 in. The length is twice the width. Find the actual dimension of the cross section of this piece of lumber.
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
If f is continuous on [0,1] and if (integral from zero to one of (f(x) x^n)dx)) =0 for n in the Naturals, prove that f(x)=0 on [0,1]/ Hint: The integral of the product of f with any polynomial is zero. Use the Weierstrass approximation theorem to ..
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
Five numbers are chosen at random from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, without replacement. What is the probability that all the numbers are even?
What are the two steps for simplifying radicals? Provide an example to show each step. Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.
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