Word problem?

Can you figure out the answer?
A telephone system sales man claims that his product is "5-9's" compliant. This term means that the product will be functional 99.999% of the time. So in a non-Leap year how long will the product not be working? Express your answer in hours, minutes, seconds.

"5-9s" means "five nines"
The product working, in this exaqmple the product being a telephone system, means availability of dial tone. You would want dial tine to be available 100% of the time. Right?

(365*24*60*60)/100000=315.36 seconds, or five minutes and 15.36 seconds (00:05:15:36)

The product does NOT work .001% of the time, so you get:

.001% x 365 days x 24 hrs/day = 8.76 hrs that it is not working, so 8 hours plus .76 hrs, which equals:

.76 hrs x 60 min/hr = 45.6 min, so 8 hrs plus 45 min plus 0.6 min it is not working:

.6 min x 60 sec/min = 36 sec

Therefore, adding all togethter you get .001% x 365 days = 8 hrs 45 min 36 sec that the product is not working each non-leap year

The question cannot be answered unless you know how often the product is used. If it is used continuously, then you need to use complex statistitics, far beyond me.

If 59 s means 59 seconds then all you need to do is work out how many minutes in a year, then take off one second for each of them. The total number of seconds is how long it wont be working for.

5 minutes and 15.36 seconds

Well, there's no guarantee that it won't work at all in that time. Just a guarantee that it will work for all but 5 minutes and 15.36 seconds.

google: 365 * 24 * 3 600 * 0.00001 = 315.36 = 5 minutes, 15.36 seconds.

I agree with Augmom's answer. 8 hours 45 minutes 36 seconds

x 99.999
--- = ---------
31536000 100. 31536000=seconds per year


x=364days 23hrs 54min 44.64sec

answer- 5min 15.36sec


.

There are 315,360,000 seconds in a non-leap year (60*60*24*365). If the product works 99.999% of the time it won't be working 0.001% of the time, or 1 out of every 100,000 seconds.

315,360,000 / 100,000 = 315.36 seconds during the year that the phone system doesn't work (on an average year). This would be 5 minutes and 15.36 seconds.

8.76 hours is 8 hrs, 45 mins and 36 seconds.
365*24*60*60 is 31, 536,000 seconds in a year. .001 is the amount of down time. .001*31,536,000 is 31,536 seconds. Divide by 60 seconds to get minutes, divide by minutes to get hours. This gives you the 8.76 hours that must be converted to 8 hrs 45 mins and 36 seconds. .76 hours is 45 mins and 36 seconds. Ask a qualified school teacher. Good luck