Compute values of the product ( 1 + 1 1 ) ( 1 + 1 2 ) ( 1 + 1 3 ) .... ( 1 + 1 n ) for small values of n in order to conjecture a general formula for the product. Prove your conjecture by mathematical induction.
Compute values of the product ( 1 + 1 1 ) ( 1 + 1 2 ) ( 1 + 1 3 ) .... ( 1 + 1 n ) for small values of n in order to conjecture a general formula for the product. Prove your conjecture by mathematical induction.
Solution Summary: The author explains how to compute the value of the product (1+12) and to prove the conjecture by mathematical induction.
2. Find the exact value of 12 + 12+12+√√12+ √12+
12
he following contingency table details the sex and age distribution of the patients currently registered at a family physician's medical practice. If the doctor sees 17 patients per day, use the binomial formula and the information contained in the table to answer the question:
SEX
AGE
Under 20
20-39
40-59
60-79
80 or over
TOTAL
Male
5.6%
12.8%
18.4%
14.4%
3.6%
54.8%
Female
2.8%
9.6%
13.2%
10.4%
9.2%
45.2%
TOTAL
8.4%
22.4%
31.6%
24.8%
12.8%
100.0%
if the doctor sees 6 male patients in a day, what is the probability that at most half of them are aged under 39?
Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?
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