Write the word COURAGEOUS on paper in large letters, cut out each
etter separately and put the letters in a bag or bowl.
1) What is the theoretical probability of choosing a consonant?
Give your answer as a fraction and percent. Show your work.
2) What is the theoretical probably of choosing a vowel? Give your
answer as a fraction and percent. Show your work.
3) Perform an experiment choosing one letter at a time out of the
bag. Record your pick each time and then replace the letter back
into the bag. Fill out the chart below after 10, 20, and 30 trials.
Number of Trials # of consonants # of vowels
10
20
30
4) What is the relative frequency of choosing a vowel after 30 trials?
Write this as a fraction in lowest terms. Show your work.
5) If you performed this experiment 175 times, how many times
would you expect to pick a vowel? Round your answer to the
nearest whole number, Show your work.

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)