Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green eyes 9 6 15 Brown eyes 10 5 15 19 11 30 Are the events "brown hair" and "brown eyes" independent? Yes, P(brown hair) • P(brown eyes) = P(brown hair ∩ brown eyes) No, P(brown hair) • P(brown eyes) ≠ P(brown hair ∩ brown eyes) No, P(brown hair) • P(brown eyes) = P(brown hair ∩ brown eyes) No, P(brown hair) • P(brown eyes) ≠ P(brown hair ∩ brown eyes)

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b