Assuming the position of the first quartile of an appropriately ordered dataset is given by
and the position of the third quartile of an appropriately ordered dataset is given by
Calculatethe range and interquartile range of the above dataset.
A and B are the stationary points of f(x).
f(x) = 2x3- x2- 8x + 8
A = (-1,13)
B = (4/3,8/27)
Determine whether each stationary point is a maximum, minimum or point of inflexion.
The first term of an arithmetic sequence is 12 and the ninth term is 68.
Calculate the sum of the first 18 terms.
In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z, while the "digit" can be any number from 0 to 9. E.g: Z9835.
Calculate the probability of a sea vessel having an identification ending in "007".
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