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Sloan [31]
4 years ago
5

An electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricit

y, they would like know the mean daily power usage for homes there. However, measuring the daily power usage of every home is not practical. Thus, an experiment must be designed where a sample of homes will have their daily power usage measured. Determine the required sample size to ensure that the 95% confidence interval for the population mean daily power usage is not larger than ±5 kWh. That is, determine the minimum sample size such that the error between the sample mean �" and population mean µ does not exceed 5 kWh, with 95% confidence. Based on historical trends, the population standard deviation can safely be assumed to be 50 kWh.
Mathematics
1 answer:
TiliK225 [7]4 years ago
5 0

Answer:

atleast 385

Step-by-step explanation:

Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.

Population std deviation = \sigma = 50

Sample size =n

STd error of sample mean = \frac{50}{\sqrt{n} }

Margin of error for 95% would be Critical value ( std error)

Here since population std dev is known we can use Z critical value= 1.96

1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16

Sample size should be atleast 385

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Katyanochek1 [597]

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So P (intersection of 1 through 40) = .99 * .99 * .99.....*.99 = (.99)^40 = .6689717586</span>

 

Answer:

<span>There is a 0.67 probability (or 67%) that the product will work.</span>

7 0
3 years ago
Wahts the permiter I will mark braknliest
dalvyx [7]

Answer:

221 cm

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8 0
3 years ago
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.2

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3 years ago
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Please help me answer this question. Explain if possible.
ExtremeBDS [4]
The functions have the same initial value is correct

"The functions have the same rate of change" is wrong because as we can see, the table goes up by 10, however, the graph goes up by 15

"Both functions are the same" is also wrong, we already proved they have a different slope, how could they possibly be the same?

"The rate of change for Tour 1 is greater" is also wrong because tour 2 goes by 15, which is greater than 10.

"The functions have the same initial value is correct because as we can see on the graph(tour 2), the y-intercept is 35, using the slope on the tab;e(tour 1) we can calculate that when x is 0, the y-value is 35, which means both of the tours has a y-intercept of 35, therefore, this is the correct choice

3 0
3 years ago
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gtnhenbr [62]

Answer:

(4w^2+180w+1800) meters^2

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Don't forget to put your units and since we are talking about area be sure to add your squared symbol

8 0
3 years ago
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