Answer:
1/3 = 2/6
Step-by-step explanation:
1/3 = 1 × ⅓ = (2/2) × (1/3) = 2/6
So, ⅓ is equal to 2/6.
Answer:
a
Step-by-step explanation:
the length is what will tell you
12 & 35 Third side is hypotenuse = 37
28 & 45 Third side is hypotenuse = 53
20 & 29 Third side is a leg = 21
Answer:
The margin of error E that corresponds to a 95% confidence level is: 
Step-by-step explanation:
The propocion is 
The sample size 
95% confidence level
Level of significance = 1-level of confidence
Level of significance = 1-0.95 = 0.05
The formula for the error is:

The value for
according to the normal table
So:

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.