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olga55 [171]
3 years ago
13

Unit times for a job exhibit a learning effect. If the second unit took 30 hours, and the fourth unit took 21 hours, roughly how

many hours would you estimate the third unit took?
Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

The answer is "24 Hours".

Step-by-step explanation:

The calculated time for 2^{nd}unit:

\to T_2 =T_1 \times (2)^{\frac{log(r)}{log(2)}}

        =30 ................(a)

Calculating the time for 4^{th}unit:

T_4=T_1\times (4)^{\frac{log(r)}{log(2)}}

     =21 ..............(b)

On dividing the value from equation (a) to (b):

 r= 0.7

Put the value of r into equation (a)  

T_1=42.8571

Calculating the value of time for 3^{rd} unit:

= 42.8571 \times (3)^{\frac{log(0.7)}{log(2)}} \\\\=24.35 \ Hours\\\\=24

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