What are the true effects of petitions? Are they a waste of time?

I was looking at Britain's government website today that they setup for their citizens to create petitions. I wonder do they take the petitions seriously or do they do it to keep the public at bay? Then I started wondering about other petition sites, the general everyday types. Does ANYONE take those petitions seriously? At least with paper and pen petitions you knew you were getting individual people. With epetitions, you don't know what you're getting.

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