You are waiting at the end of a long straight line at coffee express. your
friend denzel is r + 12 feet in front of you. denzel is 2r + 4 feet away from me
front of the line. if denzel is in the exact middle of the line, how many teet
are you from the front of the line?

you are 40feet away from the front

r+12=2r+4

so

r=8

so distance from Denzel to you is 8+12=20

and thus double this is 40

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: