Answer:
14y -5
Step-by-step explanation:
Given:
-3y - 2 - 3 + 17y (rearrange so that like terms are together)
= 17y - 3y -2 -3 (group like terms)
= (17y - 3y) + (-2 -3 ) simplify
= 14y + (-5)
= 14y -5
The argument is valid by the law of detachment.
Answer:

Step-by-step explanation:

.

Answer:
11/18
Step-by-step explanation:
The desired probability is the sum of ...
... (probability of choosing a coin) × (p(heads) on that coin)
Since the coins are chosen at random, we assume the probability of choosing a given coin is 1/3. Then ...
... p(heads) = (1/3)·(1/2) + (1/3)·1 + (1/3)·(1/3) = 1/6 + 1/3 + 1/9 = (3 +6 + 2)/18
... p(heads) = 11/18