What's the difference between agnosticism and theism?

Agnosticism

Definition:

(n.) That doctrine which, professing ignorance, neither asserts nor denies.
(n.) The doctrine that the existence of a personal Deity, an unseen world, etc., can be neither proved nor disproved, because of the necessary limits of the human mind (as sometimes charged upon Hamilton and Mansel), or because of the insufficiency of the evidence furnished by physical and physical data, to warrant a positive conclusion (as taught by the school of Herbert Spencer); -- opposed alike dogmatic skepticism and to dogmatic theism.

Example Sentences:

(1) There can’t be something, someone that could fix this and chooses not to.” Years of agnosticism and an open attitude to religious beliefs thrust under the bus, acknowledging the shame that comes from sitting down with those the world forgot.
(2) Individually, they stood to declare their loyalty to the throne or to profess their monarchical agnosticism.
(3) Brexit: how a fringe idea took hold of the Tory party | Matthew d’Ancona Read more But Cameron was committed to a public position of agnosticism until the renegotiation was complete.
(4) I move for less censorship of "offensive" material, not more; more mocking of every religion and of atheism and its drippy twin, agnosticism, in front of which I plant my knee.
(5) To put it bluntly ‘doing something’ about global warming gathered strong political momentum in Australia.” Howard was full of praise for Tony Abbott for challenging what had “seemed to be the consensus” on the issue, saying – with a clear sense of approval – that Australians had now “settled into a state of sustained agnosticism … Of course the climate is changing.
(6) For years the population of US Catholics has gradually declined , according to researchers, in line with a broader trend of Americans walking away from religious institutions in favor of atheism, agnosticism and, especially, a category of “no affiliation”.
(7) Oddly, though, my gradual loss of faith and shift to agnosticism was counterbalanced with a growing appreciation for the positive source of meaning and empowerment that faith, spirituality, and collective religious practice can be in people's lives.
(8) AR: And in terms of the conflict between Darwin coming to a point of at least agnosticism from being religious, and Emma retaining her religion, how do you develop that sort of conflict between the two of you?
(9) The lessons on atheism, agnosticism and humanism for thousands of primary-school pupils in Ireland will be drawn up by Atheist Ireland and multi-denominational school provider Educate Together, in an education system that the Catholic church hierarchy has traditionally dominated.
(10) In Part I of this essay, I assess the fairness and cogency of three broad criticisms raised against 'principlism' as an approach: (1) that principlism, as an exercise in applied ethics, is insufficiently attentive to the dialectical relations between ethical theory and mortal practice; (2) that principlism fails to offer a systematic account of the principles of non-maleficence, beneficence, respect for autonomy, and justice; and (3) that principlism, as a version of moral pluralism, is fatally flawed by its theoretical agnosticism.
(11) (My own beliefs tend to veer towards agnosticism, with a healthy side of Buddhism.)
(12) Church of England = 33% Catholicism = 10% Other Christian = 9% Islam = 3% Hinduism = 2% Judaism = 1% Other religion = 3% Agnosticism = 17% Atheism = 21% Do you actively practise your religion, eg you attend regular religious services?
(13) Despite his own agnosticism, the vernacular "sorrow songs" became the privileged vehicle for expressing "the deep religious feeling of the real Negro heart" - the soul ofblack experience.
(14) Howard was forced to, at least temporarily, disavow his personal agnosticism by public opinion, which had been influenced by recent weather events.