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Paul [167]
3 years ago
11

An 800 seat complex is divided into 3 theater. There are 270 seats in theater 1. There are 150 more seats in theatre 2 than in t

heater 3. How many seats are in theater 2 (which is x)
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer: 380

Step-by-step explanation:

800 minus 270 is 530

530 minus 150 is 380

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A random sample of 121 automobiles traveling on an interstate showed an average speed of 73 mph. from past information, it is kn
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121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range


(73 - 2 \cdot 11, 73 + 2 \cdot 11) = (51,95)


The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.


The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:


\sigma = \dfrac{ 11}{\sqrt{121}} = 1


So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range


(73 - 2 \cdot 1, 73 + 2 \cdot 1) = (71,75)


That's probably the answer they're looking for.



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Evan has a summer job to pick berries on a farm.

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Answer:

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