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laiz [17]
2 years ago
6

Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 or

ders per day and Frank and Kathy can do 850 orders per day. How many can each do in a day?
Mathematics
1 answer:
Natalija [7]2 years ago
3 0
(1) x+y+z=1300
(2) x+y=780 => x = 780 - y
(3) y+z=850 => z = 850 - y

Replace x and z with y in function (1)

780 - y + y + 850 - y = 1300
1630 - y = 1300
y = 330

Therefore, x = 780 - y = 780 - 330 = 450
z = 850 - y = 850 - 330 = 520

Dave can do 450 catalog orders per day
Frank can do 330 catalog orders per day
Kathy can do 520 catalog orders per day

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Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

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Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

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

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Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

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So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

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2 years ago
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Answer:

Step-by-step explanation:

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Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:

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Answer:

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Answer:

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