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.

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96