Acomponent in a music system has a life expectancy of 2,400 hours with a standard deviation of 300 hours. if an average person listens to music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is %. nextreset

2.228%

Step-by-step explanation:

Average life = 2400 hours

So,

An average person listens to music for 1,000 hours in a year

So, An average person listens to music in 3 years= hours

Now we are supposed to find the probability that the component lasts for more than 3 years

So,P(z<3000 hours or 3 years)=P(z<2)=0.9772

So,P(z>2)=1-0.9772=0.0228 or

Hence the probability that the component lasts for more than 3 years is 2.228%

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

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step-by-step explanation: