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an airplane is flying on a bearing of 140 degrees at 395 miles per hour. A wind is blowing with a bearing of 190 degrees at 35 miles per hour. Find the actual speed and direction(bearing) of the plane.
Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
A certain university has a computer lab with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will b..
Ravi rented a truck for one day. There was a base fee of $15.99 , and there was an additional charge of .94 cents for each mile driven. Ravi had to pay $282.95 when he returned the truck. For how many miles did he drive the truck?
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times greater than
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
In a classroom of children (13 boys and 12 girls), five students are chosen to go to the blackboard. What is the probability that no boys are chosen?
suppose one test item was molded from a single batch of plastic and the hardness of this item was measured at 16 different points in time. Discuss the effect of conducting the described experiment on the error term.
An object is thrown upward from the top of a 48 foot building, with an initial velocity of 32 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+32t+48. When will the object hit the ground?
The curve for x=sqrt(In(y)) for 1
Best rentals charge a daily fee plus a mileage fee for renting its cars. Barney was charged $123.00 for 3 days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best rental charge per day and for mileage.
What is the equation of a circle touching the lines x-3y-11=0 and 3x-y-9=0 and having its center on the line x+2y+19=0.
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