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Flauer [41]
3 years ago
10

A new machine tool is brought into a production line to help speed production. You take 200 seconds to produce the first widget.

By the 400th widget, you reduce the time to only 15 seconds. What is "b" in the formula Tn=T1nb for the learning curve (round to the nearest three decimals)?
a. -0.898
b. 0.454
c. -0.432
d. 0
e. 17

Please explain why
Mathematics
2 answers:
AleksandrR [38]3 years ago
8 0

Answer:

<h2>c. -0.432</h2>

Step-by-step explanation:

The given formula is

T_{n}=T_{1}(n)^{b}

Where T_{1}=200, T_{n} =15 and n=400. (givens of the problem).

Replacing and solving for b , we have

15=200(400)^{b} \\(400)^{b} =\frac{15}{200}= 0.075\\log((400)^{b} )=log(0.075)\\b(log(400))=log(0.075)\\b=\frac{log(0.075)}{log(400)}\\ b \approx -0.432

Therefore, the right answer is c.

lesya [120]3 years ago
5 0

Answer: I think the answer is b

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