Question
On a science quiz, David got 45 out of 70 items correct. What is the empirical probability of his incorrect responses? Write your answer in the simplest form of a fraction.(1 point)
Hazel has 15 T-shirts and 10 short-sleeve blouses in her wardrobe. What is the relative frequency of her T-shirts? Write your answer in decimal form.(1 point)
Use the table to answer the question.
Colors Where the Spinner Stopped Frequency
blue 20
red 15
green 45
yellow 10
black 15
white 45
Total 150
A color wheel with six equal sections, blue, red, green, yellow, black, and white, was spun 150 times. The results are summarized in the table.
What is the experimental probability of landing on white? Express your answer in percent form.(1 point)
A six-sided number cube is to be rolled 30 times. How many times do you expect to roll on an even number?(1 point)
Use the table to answer the question.
Type of Movie Number of Visitors
Comedy 12
Action 5
Drama 3
Horror 0
Mystery 18
Thriller 7
Romance 5
A theater owner took a survey of the types of movies their visitors like. Predict how many visitors would like a comedy if they surveyed 1,275 students.
Hazel has 15 T-shirts and 10 short-sleeve blouses in her wardrobe. What is the relative frequency of her T-shirts? Write your answer in decimal form.(1 point)
Use the table to answer the question.
Colors Where the Spinner Stopped Frequency
blue 20
red 15
green 45
yellow 10
black 15
white 45
Total 150
A color wheel with six equal sections, blue, red, green, yellow, black, and white, was spun 150 times. The results are summarized in the table.
What is the experimental probability of landing on white? Express your answer in percent form.(1 point)
A six-sided number cube is to be rolled 30 times. How many times do you expect to roll on an even number?(1 point)
Use the table to answer the question.
Type of Movie Number of Visitors
Comedy 12
Action 5
Drama 3
Horror 0
Mystery 18
Thriller 7
Romance 5
A theater owner took a survey of the types of movies their visitors like. Predict how many visitors would like a comedy if they surveyed 1,275 students.
Answers
GPT 3.5
- The empirical probability of David's incorrect responses is 25/70, which simplifies to 5/14.
- The relative frequency of Hazel's T-shirts is 15/25, which equals 0.6 or 60%.
- The experimental probability of landing on white is 45/150, which equals 30%.
- Out of 30 rolls on a number cube, you can expect to roll on an even number 15 times, as there are 3 even numbers (2, 4, 6) out of 6 total numbers on a six-sided cube.
- If they surveyed 1,275 students, and 12 liked comedy out of 45 total respondents, you can predict that approximately 340 students would like comedy.
- The relative frequency of Hazel's T-shirts is 15/25, which equals 0.6 or 60%.
- The experimental probability of landing on white is 45/150, which equals 30%.
- Out of 30 rolls on a number cube, you can expect to roll on an even number 15 times, as there are 3 even numbers (2, 4, 6) out of 6 total numbers on a six-sided cube.
- If they surveyed 1,275 students, and 12 liked comedy out of 45 total respondents, you can predict that approximately 340 students would like comedy.