Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
Answer:
So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.
So as you said, 12 choose 7 = 792
Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.
So to choose 3 real from 5 is 5 choose 3 = 10
And to choose 4 fake from 7 is 7 choose 4 = 35
3x10/792= 350/792= 175/396
Here is the answer, the slope for both lines are the same B(or C) is just different.
Fifty-one and seven tenths ~ or, simpler ~ fifty-one point seven.
