How many factors does 2^3*3^2*5*17^2 have?

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How can you decide witch operations to use to slice a two step equation

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost