If you rolled a die, what is the probability that you would roll a 4?
Give your answer as a simplified fraction.
Enter the number that belongs in the
green box.

2/3

Step-by-step explanation:

each side of dice have the number. the largest number is 6. therefore the answer is 4/6. but we need to simplyfied it so the answer is 2/3

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0