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Given that the points P(at^2,2at),Q(a,0) and R(a/t^2 ,(-2at)/t) where a is a positive constant and t>o,show that P,Q and R are collinear .Find,in terms of a and t,   (a) The area...

A two digit number is 4/7 of the number formed by reversing its digits.When the number is increased by 2 times the sum of its digits,it becomes 54.find the number.

A population consisting of a certain proportion of defective items has mean μ = 2. If a sample of 4 items is examined and repeated 200 times, obtain a) probability of an item being defective, b) probability...

f(x) = sqrt(x) a = 4, n = 2, 4 ≤ x ≤ 4.5   Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval.     R(2)(x)...

A total of 110 phone calls were taken by one person, which is 135% above average. What is the average phone calls taken by the team?   (0% means you’re exactly average)

in thinking about the similarities and differences among the empires of the early modern era, what categories of comparison might be most useful to consider?

Which of the following statements regarding the nature of stress is true? A. Accumulating hassles may well lead to a sudden onset of PTSD. B. Psychophysiological disorders are primarily mental...

1.) A mixture of 4% disinfectant solution is to be made from 6% and 3% disinfectant solutions. How much of each solution should be used if 27 gallons of 4% solution are needed? 2.) How many...

Find the solutions of the equation that are in the interval [0, 2π). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) cos COS[2X-(pi/3)]=0  given...

a builder wants to install a triangular window with the second and third angle which measure 30 degrees more than the first angle measure. What are the measurements of the angles he will have to cut...

A total of 373 patients are tested for two diseases, Disease A and Disease B. Of these 373 patients, 80 have Disease A, 36 have Disease B, and 6 have both diseases. What is the χ2 statistic of your...

Corrugated Specialties produces boxes of all kinds, and they manufacture an average of 67,000 shirtsize boxes per month. In November, they were told to increase production by 35%. How many shirt-size boxes...