The functions of the respiratory system are (Select all that apply)
A. to pump blood to the body.
B. to deliver oxygen to the body.
C. to remove carbon dioxide from the body.
D. to absorb nutrients.
B. to deliver oxygen to the body.
C. to remove carbon dioxide from the body.
A survey was conducted to determine students' preferred learning style.
The distribution of responses from the sample participants are summarized as follows:
Learning Styles:
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 students-participants of the survey. Write your answer in the simplest fraction form.
A. 2/5
B. 3/5
C. 2/3
D. 20
The number of students who preferred a visual learning style is 20, and the total number of students-participants in the survey is the sum of all three styles, which is 17 + 20 + 13 = 50.
Therefore, the ratio of students who preferred a visual learning style to the total number of students-participants is 20/50.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 10.
20/50 = 2/5
Therefore, the correct answer is:
A. 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?
A. {o, e}
B. {m, v, r, s}
C. {v, r, s}
D. {m, o, v, e, r, s}
Consonant letters are all the letters in the alphabet that are not vowels (a, e, i, o, u).
From the word "movers", the consonant letters are: m, v, r, s
Therefore, the set of favorable outcomes of randomly choosing a consonant letter from the box would be:
B. {m, v, r, s}
There are 25 balls jar. Twelve (12) are red, 10 balls are blue, and 3 balls are white. Which of the following describes the likelihood of randomly picking a white ball?
A. impossible
B. very unlikely
C. less likely than not
D. likely
The likelihood of picking a white ball can be determined by comparing the number of white balls to the total number of balls in the jar.
From the information given:
Total number of balls = 25
Number of white balls = 3
The probability of picking a white ball is given by (Number of favorable outcomes / Total number of outcomes):
P(white) = Number of white balls / Total number of balls
P(white) = 3 / 25
Since there are only 3 white balls out of 25 total balls, it can be considered:
B. very unlikely.
Which event is most likely to happen?
A. randomly picking a consonant from the English alphabet
B. getting ahead from a single toss of a fair coin
C. getting a 6 when rolling a dice once
D. randomly picking a vowel letter from the English alphabet
To determine which event is most likely to happen, we need to compare the number of favorable outcomes to the total number of outcomes for each event.
A. Randomly picking a consonant from the English alphabet:
There are 21 consonants out of 26 letters in the English alphabet.
Number of favorable outcomes: 21
Total number of outcomes: 26
B. Getting ahead from a single toss of a fair coin:
There are 2 possible outcomes: heads or tails.
Number of favorable outcomes: 1
Total number of outcomes: 2
C. Getting a 6 when rolling a dice once:
There is 1 favorable outcome (rolling a 6) out of 6 possible outcomes (rolling numbers 1 through 6).
D. Randomly picking a vowel letter from the English alphabet:
There are 5 vowels out of 26 letters in the English alphabet.
Number of favorable outcomes: 5
Total number of outcomes: 26
Comparing the probabilities:
A. Picking a consonant: 21/26
B. Getting ahead from a coin toss: 1/2
C. Getting a 6 from rolling a dice: 1/6
D. Picking a vowel: 5/26
The event with the highest probability is randomly picking a consonant from the English alphabet, as it has the highest number of favorable outcomes compared to the total number of outcomes.
Therefore, the most likely event to happen is:
A. randomly picking a consonant from the English alphabet.