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The display of a 24-hour digital clock shows hours and minutes in the format XX:XX. For what fraction of a day is at least one 9 displayed on this clock?

 Oct 29, 2020
 #1
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link:::https://web2.0calc.com/questions/the-display-of-a-24-hour-digital-clock-shows-hours-and-minutes_1

 

There're three answers; 2nd and 3rd answers are correct!

 Oct 29, 2020
 #3
avatar+1641 
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I gave the wrong link.coolcheeky

jugoslav  Oct 30, 2020
 #2
avatar+37153 
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the hours 09 and 19 both display a 9 for 60 minutes each

the other 22 hours have a 9 for   09   19   29 39 49 59       6 minutes per hour

 

24 hours = 1440 minutes

 

(60+ 60 + 6* 22) / 1440 = 252/1440 = 0.175      17.5 % of the time

 Oct 30, 2020

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