Final answer:
Removing the underlined phrase would primarily cause the sentence to lose a detail that is essential for understanding the need for capital, which is a vital point.
Option H. provides one of the reasons immigrants needed capital. which states that the sentence would lose a detail providing one of the reasons immigrants needed capital, would be the correct option.
Step-by-step explanation:
The student's question: "If the underlined phrase were deleted, the sentence would primarily lose a detail that provides an example of financial security, repeats information found elsewhere in the sentence, provides one of the reasons immigrants needed capital, or provides a contrast with a detail in the following sentence?" touches upon the importance of certain phrases in conveying information within a sentence.
From the given reference material, we learn that the inclusion of specific words or phrases can be integral to fully understanding a sentence's significance. For example, additional details can serve as essential information that clarifies the subject of the sentence, such as which math curriculum is being discussed. However, other details can be seen as additional or extra information, like the underlined words describing the 'current math curriculum' being replaceable without affecting the meaning of the sentence significantly. They may add interesting context but are not critical to the sentence's meaning.
When relating this to the options provided in the student's question (F, G, H, J), the correct choice should reflect the significance of the detail being removed. Based on the references, option H ('provides one of the reasons') would most likely be the correct option, as it aligns with the notion that the underlined phrase contains information explaining the need for capital, a key detail that is essential to the sentence's meaning.
Option H. provides one of the reasons immigrants needed capital is correct answer.