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Which function is equivalent to g(x) = 9x2-24x + 167
1 answer:
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Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of
a) Probability that exactly 3 people have same birthday =
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p =
Expected value of days = np =
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1
If you choose to fully simplify this expression, then the answer is b^3
If you just want to convert to rational exponent form, then the square root will be replaced with an exponent of 1/2. The rule is sqrt(x) = x^(1/2)
So,
sqrt(b^6) = (b^6)^(1/2)
which can be written as
note how the exponents 6 and 1/2 multiply to 3, which is why the fully simplified version is b^3