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Doss [256]
3 years ago
9

A goat is tied to one corner of a rectangular shed in a large field full of grass. The rope is 3 yards long and a plan view ( fr

om above ) of the shed and field is shown below
( shed = 4 yd height and 6 yd width )

Calculate the area of grass that the goat can eat. Show all your reasoning.

What length of the rope would enable the goat to eat 10 square yards of grass? Show all your reasoning

The farmer is going to leave the goat for a day and wants it to have access to an area of exactly 20 square yards of grass. How long should he make the rope
Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

the question by his by his by his by

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Answer:

(A) 0.006593 or 0.6593%

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The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\

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(B) There are three possibilities  for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

P(N>0) =P(N=1)+P(N=2)+P(N=3) \\P(N>0) = \frac{3}{455}+ \frac{3}{455}+ \frac{1}{455}\\P(N>0) =0.01538 =1.538\%

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