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4vir4ik [10]
3 years ago
10

Five times a number is the same as 30 more than 8 times the number. Find the number.

Mathematics
1 answer:
allsm [11]3 years ago
5 0

5x = 8x+30

5x-8x+30 = 0

-3x=-30

x=-10

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Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula M=Z*\frac{\sigma}{\sqrt{n}} where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244

The formula for a confidence interval is CI=\bar{x}+M where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

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3 years ago
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