5) tyace needs at least 40 hot dogs and 40 buns for a cookout. packages of
hotdogs cost $3.50 and contains 10 hotdogs. packages of buns cost $2.50 and
contains 8 buns. the maximum amount of money tyace can spend on hot dogs
and buns is $70. what are possible combinations of packages that tyace can
buy?

100 hotdogs

Step-by-step explanation:

he can get 32 hot dogs for just $65. I multiplied 3.5 and 4 (because there was 10 hotdogs in the package and he needs at least 40) and 2.5 and 5 (8 buns). To get 14 (hotdogs) and 12.5 (buns). Then I added those together to get 26.5. Multiplied that by 2 to get 53. then I added 6 (one pack +one pack) to it until I got to 65.

Sorry if this is long I am terrible at explaining my answers

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:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.