Taylor Swift performs 8 "Taylor's Version" songs on The Eras Tour. How many orders can these songs be performed in?
A coach needs 5 starters from the team of 12 players to fill the positions of point guard, shooting guard, small forward, power forward and center. How many ways can he arrange the team?
Amy is planning her vacation trips for the summer. There are seven different places she can travel. She can only afford three trips. How many possible trips are available to Amy?
Randy typically does well in math classes- his average grade is 89 with a standard deviation of 3.
Draw a Normal Distribution using the information above.
Using the Empirical rule determine what percent of the time does Randy earn between 83 and 92 in a math class?
Using the Empirical rule determine what percent of the time does Randy earn a grade that is greater than 95?
Between what grades will 95% of Randy math scores be?
Between and
Jill scored a 710 on the verbal part of the SAT. SAT verbal scores have a mean of 500 and a standard deviation of 100. Her friend Jack took the American College Testing (ACT) test and scored 27 on the verbal part. ACT scores are normally distributed with a mean of 18 and a standard deviation of 6. Assuming the two tests measure the same ability, who did better?
What was Jill's z-score?
What was Jack's z-score?
How do you know that person did better?
The mean of a test is 76 with a standard deviation of 8.
What percentage of scores would be between 81 and 90?
Round your answer to 3 decimal places.
Who did better?
What percentage of scores would be above 80?
Round your answer to 3 decimal places.
What percentage of scores would be below 62.5?
Round your answer to 3 decimal places.
What score did the bottom 30% of the class receive?
Round your answer to 1 decimal places.
What score did the top 10% of the class receive?
Round your answer to 1 decimal places.