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.

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.