Given the sentence "A male on a balcony looks through a telescope to see the seaside city." is it true that "A male looking through a telescope."?

yes
Explanation: Sentence 1 is more specific about what the male is doing with the telescope than sentence 2..

Premise: "A chef cooks in a steamy industrial kitchen."
Hypothesis: "The man was cooking with a chef hat on."
Do we know that the hypothesis entailed by the premise?

it is not possible to tell
Explanation: The chef cooks in a kitchen but not all chef's wear a chef hat. The chef could be a man or a woman..

Given the sentence "A woman in her underwear performing for a video." is it true that "She is filming an advertisement."?

it is not possible to tell
Explanation: A woman in her underwear performing for a video is not necessarily filming an advertisement..

Given the sentence "A snowboarder is captured midair from a jump off a half-pipe and performs a trick grabbing the back of his board." is it true that "A snowboarder is captured midair."?
yes
Explanation: A snowboarder is captured midair is the same as a snowboarder is captured midair..