This kind of problems requires to add the working velocities. The total velocity is the sum of the individual velocities.
Anita's velocity = 1 pool/8 hours
Chao's velocity = 1 pool/6 hours
Combined velocity 1/8 + 1/6 = (3 + 4)/24 = 7/24 pool/hour
Time = 1 pool / (7/24) pool/hour = 24/7 hour =3.43 hours
Answer:
(a) 0.9412
(b) 0.9996 ≈ 1
Step-by-step explanation:
Denote the events a follows:
= a person passes the security system
= a person is a security hazard
Given:

Then,

(a)
Compute the probability that a person passes the security system using the total probability rule as follows:
The total probability rule states that: 
The value of P (P) is:

Thus, the probability that a person passes the security system is 0.9412.
(b)
Compute the probability that a person who passes through the system is without any security problems as follows:

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.
Answer: 0.001 or 1/1000
Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.
Have a good day! : )
Answer: y= sin x+2
Step-by-step explanation:
Answer:
He volunteered 10 hrs 15 min on average.
Step-by-step explanation:
The first week: 8 hrs
The second week: 12 hrs
The third week: 12 hrs
The fourth week: 9 hrs
8 + 12 + 12 + 9 = 41 hrs total
41 hours/4 weeks = 10.25 hrs (10 hrs 15 min)