An HIV test has a sensitivity of 99.7% but its specificity is 2%. A young man gets an HIV positive result in a population in which the prevalence of HIV is 10%. Frustrated, he hangs himself. What is the probability that he has hanged himself when actually he is HIV negative?

the right answer is the third one: turnpikes went short distances to connect markets. turnpikes, also known as toll roads, were very important for trade and transportation (of people, goods and products) in the 19th century, coinciding with the expansion towards the west. they contributed significantly to the economic development of the united states.

if you could provide an excerpt for me to read i could

the renaissance was a historical movement that started in italy but spread through europe, that symbolized the end of the middle age and the beginning of the modern age.

this period in time was characterized by innovation, creativity, imagination and restoration of principles and moral values. in this time, europe classic past history was revisited and put up for debate. it was a social, political, artistic and literary movement that began as an effort to emulate the societies of classic ancient greece and rome.

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explanation: