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icang [17]
4 years ago
15

A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr

ovement cut the time by 5%. How long does it take to manufacture the piece now? Round your answer to the nearest minute
Mathematics
1 answer:
OverLord2011 [107]4 years ago
6 0

Answer:

28 minutes

Step-by-step explanation:

we know that

1) A factory manufactures a metal piece in 32 minutes

2) New technology allowed the factory to cut that time by 8%

Remember that

100\%-8\%=92\%=92/100=0.92

In this part 32 minutes represent the 100%

To find out how long  it take to manufacture the piece, multiply 32 minutes by the factor 0.92

32(0.92)=29.44\ min

3) Then another improvement cut the time by 5%

Remember that

100\%-5\%=95\%=95/100=0.95

In this part 29.44 minutes represent the 100%

To find out how long  it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

29.44(0.95)=28\ min

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Answer:

E(X) = 27.5 in/s

s.d (X) = 13.28 in/s

1st quartile = 16.25 in/s

3rd quartile = 38.75 in/s

33.33%

Step-by-step explanation:

Solution:-

- The Research shows that actual swipe rates by subway riders are uniformly distributed between 5 and 50 inches per second.

- The uniform distribution of the swipe rate can be expressed by the limits of swipe rates as  [ a , b ] as follows:

- The random variable X follows a uniform distribution for the rate of card swiped expressed by parameters [ 5 , 50 ].

                                 X ~ U ( 5 , 50 )

a) The mean value E(X) for the distribution is:

                                 E(X) = ( b - a ) / 2

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                                E(X) = 27.5 in/s

b) The standard deviation s.d for the distribution is as follows:

                                s.d (X) = sqrt  ( { [ (b-a) + 1 ]^2 -1 } / 12 )

                                s.d (X) = sqrt  ( { [ (5-5) + 1 ]^2 -1 } / 12 )

                                s.d (X) = 13.28 in/s\

c) The first quartile is given by the 25% of the swipe rates lie under:

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                               1st quartile = 5 + 0.25*(50 - 5)

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d) The third quartile is given by the 75% of the swipe rates lie under:

                               3rd quartile = a + 0.75*(b-a)

                               3rd quartile = 5 + 0.75*(50 - 5)

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                               1 - P(10<= x <=40) =

                               1 - (30/45) = 1 - 2/3 = 1/3 = 33.33%

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