Answer:
16
Step-by-step explanation:
x^2-8x+k is a quadratic expression of the form ax^2 + bx + c. Here a = 1, b = -8 and c = k. Focus on x^2-8x and complete the square as follows: Take half of the coefficient of x (that is, take half of -8) and square the result:
(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4): (x -4)^2.
Thus, k = 16 turns x^2-8x+k into a perfect square.
Answer:
Ace is the next level after expert.
Let the amount Julio scored be equal to x
kris scored 2x
x+2x=36
3x=36
x=12
Kris scored 24, Julio scored 12
False, they're perpendicular
The mean of x is
(1/3)(1/12 + 1/6 + 1/4) = 1/6
The mean of the squares is
(1/3)((1/12)² + (1/6)² + (1/4)²) = 7/216
The variance is the difference between the mean square and the square of the mean.
7/216 -(1/6)² = 1/216
The mean of x is 1/6.
The variance of x is 1/216.
