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)
The total number of items is 70. David got 45 correct, so he got 70 - 45 = 25 incorrect.
The empirical probability of his incorrect responses is 25 out of 70, which can be simplified to 5/14.
The total number of shirts Hazel has is 15 T-shirts + 10 blouses = 25 shirts.
The relative frequency of her T-shirts is the number of T-shirts divided by the total number of shirts:
Relative frequency of T-shirts = 15 T-shirts / 25 shirts = 0.6
Therefore, the relative frequency of Hazel's T-shirts is 0.6.
The experimental probability of landing on white can be calculated by dividing the frequency of landing on white by the total number of spins and then converting the result to a percentage.
Frequency of landing on white = 45
Total number of spins = 150
Experimental probability of landing on white = 45 / 150 = 0.3
To express this as a percentage, multiply by 100:
Experimental probability of landing on white = 0.3 * 100 = 30%
Therefore, the experimental probability of landing on white is 30%.
Since a six-sided number cube has 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5), and they are equally likely to occur, the probability of rolling an even number on each roll is 3/6 = 0.5.
With 30 rolls, you would expect to roll an even number about 0.5 * 30 = 15 times.
Therefore, you would expect to roll on an even number 15 times.
To predict how many visitors would like a comedy if they surveyed 1,275 students, we need to find the proportion of visitors who like comedies based on the survey data, and then apply that proportion to the total number of students surveyed.
From the table:
Number of visitors who like comedy = 12
Total number of visitors in the survey = 12 + 5 + 3 + 0 + 18 + 7 + 5 = 50
Proportion of visitors who like comedy = Number of visitors who like comedy / Total number of visitors = 12 / 50 = 0.24
If we apply this proportion to 1,275 students, we get:
Number of students who would like comedy = Proportion of visitors who like comedy * Total number of students surveyed
Number of students who would like comedy = 0.24 * 1,275 = 306
Therefore, if the theater owner surveyed 1,275 students, we would predict that 306 visitors would like comedy.
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.
(1 point)