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Firlakuza [10]
2 years ago
11

What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants

Mathematics
2 answers:
Amiraneli [1.4K]2 years ago
6 0
Ratio for constants to vowels is 21:5
Ratio of vowels to total letters is 5:26
Then your total letter to constants is 26:21
Studentka2010 [4]2 years ago
5 0

Answers:

  • Ratio of consonants to vowels = 21:5
  • Ratio of vowels to total letters = 5:26
  • Ratio of all letters to consonants = 26:21

================================================

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

------------------------------

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

-------------------------------

Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

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a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

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b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

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P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

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P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

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