−3, 3, 0, 3, −3 What is the standard deviation of the numbers above

2.683

Explanation:

Given the data: X: −3, 3, 0, 3, −3

Mean(m) = ΣX / n

n = number of observations = 5

(-3 + 3 + 0 + 3 + - 3) / 5

= 0 / 5

m = 0

√(Σ(x - m)² / n)

(-3 - 0)^2 + (3 - 0)^2 + (0 - 0)^2 + (3 - 0)^2 + (- 3 - 0)^2

= 9 + 9 + 0 + 9 + 9 / 5

= 36 / 5

= 7.2

√7.2

= 2.683

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11