Hudson is performing an experiment by tossing a paper cup into the air and recording how it lands. He determines that there are three possible outcomes for how the cup will land: on its top, on its bottom, or on its side. He is curious if the three outcomes are equally likely. The table below shows the results of Hudson's experiment. Outcome Frequency Top 4 Bottom 1 Side 25 What is the approximate probability that on the next toss, the paper cup will land on its top? On its bottom? On its side? Express each answer as a percentage. From the results of Hudson's experiment, do the three outcomes appear to be equally likely? Explain your reasoning using complete sentences.

kk.bj.

step-by-step explanation:

.mnm.kn.kj

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.