Which sentences are punctuated correctly? check all that apply..
- andrew's favorite vegetables are: cucumbers, green beans, and red peppers.
- darren told me about his travels to different tropical islands: hawaii, puerto rico, and jamaica.
-there are several activities to choose from at the resort: snorkeling, swimming, and hiking
-samantha enjoyed many types of music; jazz, classical, hip hop, country, and heavy metal.
on my way to the movies i had to pick up: roger, miguel, kimberly, and bev.
(the first time i took this i chose , " island" , "there ", and "samantha music". i got the answer incorrect. unfortunately, they didn't inform me on the ones i got incorrect) .

Sentences which are punctuated correctly are:

- Darren told me about his travels to different tropical islands: Hawaii, Puerto Rico, and Jamaica.

-There are several activities to choose from at the resort: snorkeling, swimming, and hiking

Punctuation are used to organize a sentence additionally to create more clear sense and stress in a sentence.  

In the above sentences, The punctuation Colon (:) organizes the sentence properly when placed rightly. Colon is used preceding any list, explanation, description or definition.  

Colon is one of the punctuation which is used to:

1. Lay emphasis

Example: He loved just one: Bruno, his dog

2. To present dialogue ( we write the name of the speaker and then insert colon followed by his/her dialogue.)

Example: Rita: How are you?

Mary: Fine, and you?

3. Clarify composition titles ( to explain parallel ideas colon is used in compositions like lectures or book titles), and

Example: Rousseau’s Dog: Two Great Thinkers at War in the Age of Enlightenment

4. To introduce text or lists.

Example: Three types of Subordinate or Dependent Clauses are: Adjective clause, Adverb clause and Noun clause

caliban is prospero's slave in the shakespear's play "the tempest"

is it "means of nourishment"