Answer:
Step-by-step explanation:
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For large sample confidence intervals about the mean you have:
xBar ± z * sx / sqrt(n)
where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.
z * sx / sqrt(n) = width.
so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348
The equation we need to solve is:
z * sx / sqrt(n) = width
n = (z * sx / width) ^ 2.
n = ( 2.326348 * 6 / 3 ) ^ 2
n = 21.64758
Since n must be integer valued we need to take the ceiling of this solution.
n = 22
Answer: 25 books. you can buy 25 books with 5 dollars
Step-by-step explanation:
Step-by-step explanation:
Let the number Noah is thinking of be x,
=> x - 19 * 4 = 16
=> x - 19 = 16/4
=> x = 16/4 + 19
=> x = 4 + 19
=> x = 23
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I am assuming you are trying to write seven to the power of fourteen and seven to the power of two, and if that is what you meant the correct answer is 13841287201.