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.

The table shows the distance traveled over time while traveling at a constant speed.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.