Consider a linear transformation t from r 2 to r 2 . suppose that ~v and ~w are two arbitrary vectors in r 2 and that ~x is a third vector whose endpoint is on the line segment connecting the endpoints of ~v and ~w. is the endpoint of the vector t(~x) necessarily on the line segment connecting the endpoints of t(~v) and t( ~w)?

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:

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