Two letter are chosen without replacement at random from the english alphabet. if y is considered to be a consonant, find the probability that both are vowels and that both are consonants

To find the probability of picking a vowel, you would find the probability of getting a vowel the first time (5/26). The next time you pick it would be 4/25. Multiply these together to get 2/65 as your probability of getting a vowel. For your probability of getting a consonant, it would be 21/26 and 20/25. Multiply this together to get 42/65 as your probability.

A.  x = 3.03

B.  x = 4/3

Step-by-step explanation:

A.  2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3.  Removing the parentheses, we get:  x = -0.03 = 3, or x = 3.03.

B.  The distributive property is the faster method here.  We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication:  12 + 3x = 16, or

3x = 4, or x = 4/3