A and D are the correct answers. They are on opposite sides of the transversal and are on the outside of the parallel lines.<span />
(a) 
since 13 is prime.
(b) 
, and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so 
.
(c) 
; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with 
.
(d) 
; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so 
.
Answer:
<h2>The answer is 0.1493.</h2>
Step-by-step explanation:
In a standard deck there are 52 cards in total and there are 4 aces.
Two cards can be drawn from the 52 cards in 
ways.
There are (52 - 4) = 48 cards rather than the aces.
From these 48 cards 2 cards can be drawn in 
ways.
The probability of choosing 2 cards without aces is 
.
The probability of getting at least one of the cards will be an ace is 
.
Liquidity describes the degree to which an asset or security can be quickly bought or sold in the market without effecting the assets prices, while equity is the value of the shares issued by a company.
