A letter is to be picked at random from the English alphabet. If each letter is equally likely to be selected, what is the probability of selecting a consonant? Consonants are letters except for a, e, i, o, and u. Write your answer in the simplest form of fraction.(1 point)

Answer 1

There are 26 letters in the English alphabet.
There are 21 consonants (all except a, e, i, o, u).
Therefore, the probability of selecting a consonant is 21/26.
This can be simplified to be 3/4.

So, the probability of selecting a consonant is 3/4.

Answer 2

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) Responses 2/3 Start Fraction 2 over 3 End Fraction 2/5 Start Fraction 2 over 5 End Fraction 3/5 Start Fraction 3 over 5 End Fraction 20

Answer 3

The ratio that compares the number of students who preferred a visual learning style to the number of student-participants of the survey is:

20 (number of students who preferred visual learning style) : 50 (total number of students surveyed)

This can be simplified by dividing both sides by 10:

2 : 5

So, the ratio in the simplest form is 2/5.

Therefore, the correct answer is:

2/5 (Start Fraction 2 over 5 End Fraction)

Answer 4

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

Answer 5

The word "movers" includes the letters: m, o, v, e, r, s.
The consonant letters are: m, v, r, s.

Therefore, the set that represents the favorable outcomes of randomly choosing a consonant letter is:

{m, v, r, s}

Answer 6

Calculate the theoretical probability of choosing an even-numbered card from a traditional deck of 52 cards. For this question, face cards are not counted as odd or even. Simplify.(1 point) Responses 5/13 Start Fraction 5 over 13 End Fraction 7/13 Start Fraction 7 over 13 End Fraction 20/52 Start Fraction 20 over 52 End Fraction 4/13 Start Fraction 4 over 13 End Fraction

Answer 7

In a traditional deck of 52 cards, there are 26 even-numbered cards (2, 4, 6, 8, 10) out of the total 52 cards.

The theoretical probability of choosing an even-numbered card is:

26 even-numbered cards / 52 total cards = 1/2

This probability can be simplified further:

1/2 = 2/4 = 13/26

Therefore, the simplified answer is:

13/26 or 1/2

So, the theoretical probability of choosing an even-numbered card from a traditional deck of 52 cards is 1/2 or 13/26.

Answer 8

Responses 5/13 Start Fraction 5 over 13 End Fraction 7/13 Start Fraction 7 over 13 End Fraction 20/52 Start Fraction 20 over 52 End Fraction 4/13 Start Fraction 4 over 13 End Fraction

Answer 9

The theoretical probability of choosing an even-numbered card from a traditional deck of 52 cards is 1/2. This can be simplified to the fraction 26/52 which simplifies to 1/2.

In fraction form, this is equivalent to 1/2.

None of the given answer options match this value, so based on the choices provided, the closest option is:

20/52 which simplifies to 5/13

Therefore, the closest option from the choices given is:

5/13 (Start Fraction 5 over 13 End Fraction)

Answer 10

Use the image to answer the question. (Numbers: 22, 25, 28, 1, 4, 7, 10, 13, 16, 19.)If this spinner is to be spun once, how likely will it stop on a multiple of 9? (1 point) Responses unlikely unlikely impossible impossible likely likely certain certain

Answer 11

None of the numbers provided in the set {22, 25, 28, 1, 4, 7, 10, 13, 16, 19} are multiples of 9.

Therefore, if the spinner is to be spun once, it is impossible for it to stop on a multiple of 9.

So, the correct response is "impossible."