A survey was conducted to determine students’ preferred learning style. The distribution of responses from the sample participants are summarized as follows:
Learning Styles Number of Students Who Prefer Each Style
auditory learning style 17
visual learning style 20
kinesthetic learning style 13
Write a ratio that compares the number of students who preferred a visual learning style to the number of student-participants of the survey. Write your answer in the simplest fraction form.(1 point)
The ratio of students who preferred a visual learning style to the total number of student-participants in the survey is:
20 : (17+20+13)
Simplifying the ratio by finding the greatest common factor of 17, 20, and 13, we get:
20 : 50
Dividing both terms by 10, we get:
2 : 5
Therefore, the ratio of students who preferred a visual learning style to the total number of student-participants is 2/5.
Each letter of the word movers is written on an individual paper strip and placed in a box. Which set represents the favorable outcomes of the event of randomly choosing a consonant letter?(1 point)
The consonant letters in the word "movers" are M, V, R, and S. Therefore, the set representing the favorable outcomes of the event of randomly choosing a consonant letter is:
{M, V, R, S}
There are 25 balls in a jar. Twelve (12) balls are red, 10 balls are blue, and 3 balls are white. Which of the following describes the likelihood of randomly picking a white ball?(1 point)
Responses
Which event is most likely to happen?(1 point)
Responses
getting a 6 when rolling a single dice once
randomly picking a vowel letter from the English alphabet
randomly picking a consonant from the English alphabet
getting a head from a single toss of a fair coin
Randomly picking a consonant from the English alphabet is the most likely event to happen as there are 21 consonants in the English alphabet compared to only 5 vowels.
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 empirical probability of David's incorrect responses is the ratio of the number of incorrect responses to the total number of responses:
Total number of responses = 70
Number of correct responses = 45
Therefore, the number of incorrect responses is:
Number of incorrect responses = Total number of responses - Number of correct responses
Number of incorrect responses = 70 - 45
Number of incorrect responses = 25
So the empirical probability of his incorrect responses is:
Empirical probability of incorrect responses = Number of incorrect responses / Total number of responses
Empirical probability of incorrect responses = 25 / 70
Simplifying the fraction by finding the greatest common factor of 25 and 70, we get:
Empirical probability of incorrect responses = 5 / 14
Therefore, the empirical probability of David's incorrect responses is 5/14 in simplest form.
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)
The relative frequency of Hazel's T-shirts is the proportion of T-shirts in her entire wardrobe:
Total number of clothing items in wardrobe = 15 + 10 = 25
Number of T-shirts in wardrobe = 15
Relative frequency of T-shirts = Number of T-shirts / Total number of clothing items
Relative frequency of T-shirts = 15 / 25
Dividing both the numerator and the denominator by the greatest common factor of 15 and 25, we get:
Relative frequency of T-shirts = 3 / 5
Expressing this fraction as a decimal, we get:
Relative frequency of T-shirts = 0.6
Therefore, the relative frequency of Hazel's T-shirts is 0.6.