Based on the population mean, the mean of the distribution sample means would be 204.6. The standard deviation would be 0.22.
<h3>What are the mean and standard deviation of the distribution?</h3>
The mean of the distribution sample means is the same as the population means which is 204.6.
The standard deviation can be found as:
σₓ = σ / √n
= 3.1 / √197
= 0.22
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The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
z-score is the number of standard deviations from the mean value of the reference population
99%=0.99
The z-value associate with 0.99 is 2.33:
2.33 = (X - 12425) / 595:
X - 12425 = 2.33 * 595
X = (2.33 * 595) + 12425
X = 138111
Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
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Answer:
Josie: 100 + 5x
Allanah: 10 + 20x
x is to represent the unknown variable of how many times they will repeat this process.
Yes, they can add up to 180 degrees. Say one angle is 65 degrees, and the other one is 115 degrees. That would equal to 180 degrees.
Hope this helps.