In 1935, harvard linguist george zipf i wanted out that the frequency of the kth most frequent word in a language is roughly proportional to 1/k. this implies that the second most frequent word in a language has a frequency of one half that of the most frequent word, the third most frequent word has a frequency of one third that of the most frequent word, and so on. a distribution that follows this rule is said to obay zipf's law.

zipf's lawhas been observed not only in word distributions, but in other phenomenona as well, such as populations in a city.

the frequency of the third most frequent word in the brown corpus is that of the most frequent word.

a. 41%

b. 34%

c. 33%

d. 50%

C. 33%

Step-by-step explanation:

The frequency of the Kth most frequent word in a language is roughly proportional to 1/K of the most frequent word.

So the 2nd most frequent word is roughly proportional to 1/2 of the most frequent word

The 3rd most frequent word is roughly proportional to 1/3 = 0.333 = 0.33 of the most frequent word.

0.333 is rounded to 0.33 = 33%.

If it had been 0.335 or higher, it would be round to 0.34 = 34%.

So the correct answer is:

C. 33%

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it