70,000+3,000
is the expanded form of 73,000
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Answer:
we have ![p_{51} = \frac{1}{100}](https://tex.z-dn.net/?f=p_%7B51%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
Step-by-step explanation:
considering circle with 100 points on it and then placing the wolf on one and sheep on rest.
pi = P( sheep on i-th spot is eaten at last}
As in the question we need to find probability of sheep opposite to the wolf, so p_{51}. observe each last spot is replaced by i-1 after eating
Byy LOTP we know thta![pi = \frac{1}{2}pi-1 + \frac{1}{2}pi + 1, i \epsilon {2,... 99}](https://tex.z-dn.net/?f=pi%20%3D%20%5Cfrac%7B1%7D%7B2%7Dpi-1%20%2B%20%5Cfrac%7B1%7D%7B2%7Dpi%20%2B%201%2C%20i%20%5Cepsilon%20%7B2%2C...%2099%7D)
also these pi need to satisfy
![\sum_{i=1}^{100} pi =1](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7B100%7D%20pi%20%3D1)
some sheep is eaten at last. Distribution is
![pi = \frac{1}{100}](https://tex.z-dn.net/?f=pi%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
satisfies above equation, therefore we have ![p_{51} = \frac{1}{100}](https://tex.z-dn.net/?f=p_%7B51%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is
![\frac{2}{50}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B50%7D%20)
Divide 2, which is the numerator by 50, which is the denominator
2÷50=.04
To change any decimal into a fraction, multiply by 100
The multiply .04 by 100 to change into a percentage
.04×100=4.⇒4%
4% is the percentage of defective steering wheels
Answer:
New England had skilled craftsmen in the industry of shipbuilding. The Mid-Atlantic presented a diverse workforce of farmers, fisherman, and merchants. The Southern Colonies were primarily agricultural with few cities and limited schools.
Hope this helped :)
B is the most reasonable answer. -12 times 4 is -48 plus -3. That's a total of -51/4