Lucas is choosing a bowling ball to use at the bowling alley. There are 4 black, 5 red, 7 blue, 3 green, and 6 purple bowling balls on the rack. If each choice is
equally likely, what is the theoretical probability that Lucas chooses a red bowling ball?(as a fraction)
Help pls

In order to find the answer you have to create a sample space:

S= {b, b, b, b, r, r, r, r, r, b, b, b, b, b, b, b, g, g, g, p, p, p, p, p, p,}

P(b)= 4/25 or 16%

P(r)= 5/25 or 1/5 or 20%

P(b)= 7/25 or 28%

P(g)= 3/25 or 12%

P(p)= 6/25 or 24%

Now the answer is obvious, the theoretical probability that Lucas chooses a red bowling ball is 6/25 or 24%.

Hope this helped, have a good day UwU <3

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

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