A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your friends buy 53 bottles of juice. You find 2 of the bottles have a winning cap. What is the experimental probability of winning a prize in the contest? Express your answer as a fraction in simplest form. EXPLAIN!

bru

step-by-step explanation:

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4