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A roller of radius (r) 300mm and weighing 2000N is to be pulled over a curb of height 150 mm by a horizontal force P applied to the end of a string would tightly around the circumstances of the roller moving over the curb. Find the magnitude P required to start the roller to move over the curb. What is the least force needed through the centre of the wheel to just turn the roller over the curb ?
What is the estimate probability of randomly choosing a battery with between 1970 and 2030 hours.
A farmer has 360 feet of fencing to enclose wo adjacent rectangular corrals. What dimensions should be used to maximize the enclosed area?
The Crumb and Custard Bakery makes coffee cakes and Danish in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available
Two planes take off from the same airport at the same time using different runways. One plane travels on a bearing S 14°W at 460 miles per hour. The other plane travels on a bearing N 75°W at 500 miles per hour.
The surrounding lawn is to be 10m wide on the north and south sides of the garden and 3m wide on the east and west sides. Find the dimensions of the rose garden if the total area of the rose garden and the lawn together is to be a minimum.
In in a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course
Python problems
you have 96 ft of fencing to enclose a rectangular pen for your dog. To provide sufficient running space for the dog to exercise, the pen is to be three times as long as it is wide. Find the dimensions of the pen.
The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10ekt, where t represents the year, with t = 0 corresponding to 1980. In 2003, the same painting was sold for $50 million. Find the value of k.
Discuss the differences among the three major components of statistical methodology (descriptive statistics, statistical inference, and predictive statistics).
A salesperson's weekly paycheck is 50% more than her coworker's paycheck. The two paychecks total $660. Find the amount of each paycheck.
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
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