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nasty-shy [4]
3 years ago
10

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In

two months, each of you had made $224. How much profit did the shop make in the second month?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
Hello! I can help you with this! So, you and 3 friends are 4 people. You split $536. To find the amount each of you got, Do division. 536/4 is 134. Each friend got $134 in the first month. You made 224 in 2 months. Let’s subtract to see how much more each of them got. 224 - 134 is 90. Now, multiply by 4 to find out how much profit was made. 90 * 4 is 360. The shop made $360 in the second month.
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The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

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Sum of all values divided by the number of values. So

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Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

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99% confidence interval

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The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

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