Answer:
1/5 or 20%
Step-by-step explanation:
This problem can be easily solved by finding the probability of her picking one matching pair to leave in the suitcase (which results in pulling out exactly two matching pairs)
For the first sock, it does not matter what sock she picks.
For the second sock, there is only 1 out of the 5 socks left that would match the first one picked. Therefore, the probability that she pulls out exactly two matching pairs is 1/5 or 20%
The missing angle is 53 degrees (82+45=127) (180-127=53)
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by 
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by 
units.
Hence, the scale factor is 
. (Answer)
"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that
a = kb
We're given that a = 18 and b = 3, so that
18 = 3k ⇒ k = 6
Then when b = 5, we would have
a = 6 × 5 = 30
The answer is 51 liters.
Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51
