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)

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1