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Murljashka [212]
3 years ago
9

What is (g ° f)(2) for f(x) = 10 /x - 1 and g(x) = 7x – 4?

Mathematics
1 answer:
lord [1]3 years ago
6 0
G of f means plug f(x) into g(x)

but we want at x=2 

we can solve to ways

1) find g(2)=7x-4
= 10

f(10)= 10 / (x-1)
answer is 10/ 9

method 2 is 

(f(g)x)= 10/ ((7x-4)-1)
=10/(7x-5)

now x=2 
=10/(7(2)-5)
=10/9

same answer, hope this helps
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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

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Generally the total variance is  mathematically represented as

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=>  V(x) =  2^2 + 1^2 +  1.5^2

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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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