If a letter from the word ADMINISTRATION is selected at random, what is the

probability that it is not a vowel letter?

8/14

Step-by-step explanation:

The probability of getting a consonant is the sum of the total consonants divided by the total number of letters. The consonants in the word ADMINISTRATION are 8 in number (D,M,N,S,T,R,T,N) while the vowels in the word are 6 in number (A,I,I,A,I,O).

Therefore, the sum of the letters in the word ADMINISTRATION is 14.

The probability of getting a consonant is equal to;

Sum of Consonants/ Sum of the letters

which is 8/14.

Since the two numbers are divisible by 2, we could break the fraction further to get 4/7.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5