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A car was machine washes every car in 5 minutes accurately. It has been calculated that customers will arrive as per to a Poisson distribution at an average of 8 per hour. Calculate:
1) Expected average time ( in minutes) a customer spends at the station
2) Average number of cars in the station ( both in line and being washed)
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ
how to evaluate the sums
A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"
Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u
Vector Form of the Equation of a Line We have, → r = → r 0 + t → v = (x 0 ,y 0 ,z 0 ) + t (a, b, c) This is known as the vector form of the equation of a line. The lo
Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2) There is a requirement of a dot product and the magnitude of a. a → • b → = 4 ||a
Volumes of Solids of Revolution / Method of Cylinders In the previous section we started looking at determine volumes of solids of revolution. In this section we took cross se
What fraction of the full price will you pay for 2 shirts? 3 4 11 2 $45.001 2 .
If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans: AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A
Sample Space is the totality of all possible outcomes of an experiment. Hence if the experiment was inspecting a light bulb, the only possible outcomes
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