3:2 the ratio of T's to E's 2. 2:3 the ratio of letters to H's 3. 2:2 the ratio of O's to letters 4. 13:3 the ratio of H's to O's 5. 2:13 the ratio of E's to H's

Respuesta :

Answer:

1. [tex]3 : 2 = H : C[/tex]

2. [tex]2 : 3 = C : H[/tex]

3. [tex]2 : 2 = O : T[/tex]

4. [tex]13 : 3 = All\ Letters : H[/tex]

5. [tex]2 : 13 = E : All\ Letters[/tex]

Step-by-step explanation:

See comment for complete question.

We have the following letters and their frequencies

[tex]C = 2[/tex]     [tex]H = 3[/tex]   [tex]A = 2[/tex]   [tex]T = 2[/tex]   [tex]O = 2[/tex]  [tex]E = 2[/tex]

Solving (1): 1. [tex]3 : 2 = H : [\ ][/tex]

From the alphabets listed above:

[tex]H = 3[/tex],       [tex]C = 2[/tex]   [tex]A = 2[/tex]   [tex]T = 2[/tex]   [tex]O = 2[/tex]  [tex]E = 2[/tex]

So, the 3:2 can be H : any of the alphabets. For this solution, we use:

[tex]3 : 2 = H : C[/tex]

Solving (2) [tex]2 : 3 = [\ ] : H[/tex]

This is the inverse of (1) solved above.

So 2 : 3 is:

[tex]2 : 3 = C : H[/tex]

Solving (3) [tex]2 : 2 = O : [\ ][/tex]

From the alphabets listed above:

[tex]C = 2[/tex]   [tex]A = 2[/tex]   [tex]T = 2[/tex]   [tex]O = 2[/tex]  [tex]E = 2[/tex]

Any selected alphabet will represent 2 : 2

So, we have:

[tex]2 : 2 = O : T[/tex] or O : any of C, A and E

Solving (4):. [tex]13 : 3 = [\ ] : H[/tex]

The total of all alphabet in the given word is: 13.

So,

[tex]13 : 3 = All\ Letters : H[/tex]

Solving (5): [tex]2 : 13 = E : [\ ][/tex]

The total of all alphabet in the given word is: 13.

So,

[tex]2 : 13 = E : All\ Letters[/tex]

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