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: top bottom side frequency: 4125a. 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. b. from the results of hudson's experiment, do the three outcomes appear to be equally likely? explain your reasoning using complete sentences.

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Step-by-step explanation:

A.  P(top)=top outcomes/all kinds of outcomes=4/30=2/15=13.33333333333...%

P(bottom)=bottom outcomes/ all kinds of outcomes=1/30=3.33333333%

P(side)=25/30=5/6=83.33333333333...%

B. No. If were equally likely, the probabilities for A would have been roughly the same. It seems like the side event is more probable.

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.