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.

The ratio of students who preferred a visual learning style to the total number of student-participants is 20:50. This can be simplified to 2:5.

2/5?

Yes, that is correct. 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?

Responses

{v, r, s}
{v, r, s}

{m, v, r, s}
{m, v, r, s}

{o, e}
{o, e}

{m, o, v, e, r, s}

The set that represents the favorable outcomes of the event of randomly choosing a consonant letter from the word "movers" would be:

{m, v, r, s}
{m, v, r, s}

since "m", "v", "r", and "s" are all consonant letters.

Probability Basics Quick Check

3 of 53 of 5 Items

Question
Use the image to answer the question.

A circular dial is divided into 10 equal parts from the origin toward the circumference. The parts are labeled clockwise from 1 to 28 in increments of 3. Beginning directly to the right, they are marked as 1, 4, 7, 10, 13, 16, 19, 22, 25, and 28. A needle is fixed vertically at the center, with the arrow pointing directly upward to the line between 22 and 25 at the top center of the dial.

If this spinner is to be spun once, how likely will it stop on a multiple of 9?

(1 point)
Responses

impossible
impossible

likely
likely

unlikely
unlikely

certain
certain

To determine the likelihood of the spinner stopping on a multiple of 9, we need to identify the multiples of 9 on the spinner. In the given information, we have the numbers 9, 18, and 27, which are multiples of 9.

Therefore, there are 3 possible outcomes out of a total of 10 equally likely outcomes (the numbers from 1 to 28 on the spinner).

The probability of the spinner stopping on a multiple of 9 is 3/10, which makes it likely.

So, the correct response is:

likely

Question

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?

To determine the likelihood of randomly picking a white ball from the jar, we first need to find the total number of balls in the jar, which is given as 25. Then, we identify how many balls are white (3).

So, out of the 25 balls in total, only 3 are white.

The likelihood of randomly picking a white ball can be calculated as the number of white balls divided by the total number of balls:

Probability of picking a white ball = Number of white balls / Total number of balls
= 3 / 25

Therefore, the likelihood of randomly picking a white ball is 3/25.

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

impossible
impossible

very unlikely
very unlikely

likely
likely

less likely than not