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The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
<h3>What is the margin of error(MOE)?</h3>It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
Where Z is the z-score at the confidence interval
p is the population proportion
n is the number of samples.
We have p = 68% = 0.68
n = 115
Z score for 90% confidence interval = 1.64
MOE = 0.071
So the confidence interval will be:
= (0.68-0.071, 0.68+0.071)
= (0.609, 0.751) or
= (60.9%, 75.1%)
Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
Learn more about the Margin of error here:
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Answer:
HC=
Step-by-step explanation:
Let HC=x, it is given that AH=3HC, then AH=3x.
Since, from the given figure, ΔABC is similar to ΔBHC and ΔABC is similar to ΔABH.
Therefore, ΔABH is similar to ΔBHC, hence using the similarity conditions,
Hence, HC=.
