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yKpoI14uk [10]
3 years ago
13

Help please!! if it’s correct ill mark you as brainliest

Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

\frac{2\pi }{25}

(8^2 x pi)/ (20x40)

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
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Answer:

The probability is  P(X \le 70) =  0.9685

Step-by-step explanation:

From the question we are told that

The mean values is M_1 =  15 \ minutes ,  \  M_2 =  30\ minutes, \  M_3 =  20 \ minutes

The standard deviation is \sigma_1 =  1  \  minutes ,  \  \sigma_2 =  2 \ minutes  ,  \  \sigma =  1.5 \  minutes

Generally the total mean is mathematically represented as

         \= x =  \sum M_i

=>     \= x  =  15 + 30 + 20

=>    \= x =  65

Generally the total variance is  mathematically represented as

     V(x) =  \sum \sigma^2_i

=>  V(x) =  2^2 + 1^2 +  1.5^2

=>  V(x) = 7.25

Generally the total standard deviation is mathematically represented as

        \sigma =  \sqrt{V(x)}

=>     \sigma =  \sqrt{7.25 }

=>     \sigma =  2.69

Generally the probability that it takes at most 70 min of machining time to produce a randomly selected component is mathematically represented as

        P(X \le 70) =  1 - P( X > 70 )

Here  P(X > 70) =  P(\frac{X - \mu }{\sigma}  >  \frac{70 -  65}{ 2.69} )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

        P(X > 70) =  P(Z >  1.8587 )

From the z table  

  The area under the normal curve to the right corresponding to  1.8587 is

        P(Z >  1.8587 ) = 0.031535

So

      P(X \le 70) =  1 - 0.031535

=>  P(X \le 70) =  0.9685

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Answer:

A) 744 inches

Step-by-step explanation:

24 x 31 = 744

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