Cameron brought a set of 7 classic paperbacks to a secondhand store to sell. He was paid cash for the entire set. Before he left
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Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
91.3 in³
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = where B=area of the base and h=height of the pyramid
Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:
A = 7.4 x 7.4 = 54.76 in²
Multiply the area of the base x height of the pyramid: (54.76 x 5) = 273.8
Divide by 3 (multiply by ): 273.8/3 ≈ 91.3 in³