Hard math test

Quiz
•
Mathematics
•
University
•
Easy
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10 questions
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1.
OPEN ENDED QUESTION
15 mins • 1 pt
find the sum of the series ∞ n = 1 ne−3n correct to four decimal places.
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2.
OPEN ENDED QUESTION
15 mins • 1 pt
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Tags
CCSS.HSA-REI.B.4B
3.
OPEN ENDED QUESTION
15 mins • 1 pt
Find the maximum area of a rectangle inscribed in a semicircle of radius r.
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4.
OPEN ENDED QUESTION
15 mins • 1 pt
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5.
OPEN ENDED QUESTION
15 mins • 1 pt
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6.
OPEN ENDED QUESTION
15 mins • 1 pt
If a test for a disease is 95% accurate (true positive and true negative rates) and 5% of the population has the disease, what is the probability that a person has the disease given that they tested positive?
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Tags
CCSS.8.SP.A.4
7.
OPEN ENDED QUESTION
15 mins • 1 pt
How many ways can 5 books be arranged on a shelf if 3 of the books are identical?
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