Question

Please help and show working (please)

Answer 1

In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.

a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77

b. ∑
`f^(2)` means to sum all elements in the set f as the square of the elements f =
`5^(2) + 9^(2) + 10^(2) + 16^(2) = 25 + 81 + 100 + 256 = 462`

c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
`(12^(2)(5)) + (15^(2)(9)) + (20^(2)(10)) + (30^(2)(16)) = 21145`10) + (30×16) = 875

d. ∑
`m^(2)f` means to sum all elements as the product of the square of m and f =
`((12*12)(5)) + ((15*15)(9)) + ((20*20)(10)) + ((30*30)(16)) = 21145`