For the set of scores at the right, find the value of each expression: X 1 6 2 3 LaTeX: \sum ∑ X2 (LaTeX: \sum ∑ X)2 LaTeX: \sum ∑ (X-3) LaTeX: \sum ∑ (X-3)2

Kindly check explanation

Step-by-step explanation:

Given that:

X = 1, 6, 2, 3

Find sum ∑ X2

∑ X^2 = ∑ (1^2 + 6^2 + 2^2 + 3^2)

∑ X^2 = ∑ ( 1 + 36 + 4 + 9)

∑ X^2 = 50

Second tak task is unclear

Find sum ∑ (X-3)

X = 1, 6, 2, 3

∑ X - 3 = ∑ (1-3) + (6-3) + (2-3) + (3-3)

∑ (X-3) = ∑ (-2 + 3 + - 1 + 0

∑ (X-3) = ∑ (-2 + 3 - 1 + 0)

∑ (X-3) = 0

Find the sum ∑ (X-3)^2

X = 1, 6, 2, 3

∑ (X-3)^2 = ∑ (1-3)^2 + (6-3)^2 + (2-3)^2 + (3-3)^2)

∑ (X-3)^2 = ∑ (-2^2 + 3^2 + (-1^2) + 0

∑ (X-3)^2 = (4 + 9 + 1)

∑ (X-3)^2 = (14)

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.