I'm a little lost on this one Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Select three options. 1. The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3 2. An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3." 3. The statement is not a conditional statement because it does not include both an "if" and a "then" clause. 4. The statement can be proven true or false. 5. The conclusion of the statement is written before the hypothesis. Any help would be appreciated.

note: I wasn't sure about statement 2. I think your teacher made a typo with that.

Let's go through the five statements to see if they are true or not.

Statement 1) The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3"

This is a true statement as conditionals are of the basic form "if hypothesis, then conclusion". A hypothesis is an educated guess or assumption, and it leads to the conclusion which is often directly (or somewhat directly) tied to the hypothesis.

Statement 2) An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."

This is a bit baffling as this is an identical copy of the statement Galen wrote at the top. It seems like your teacher made a typo here (probably didn't realize they cut/pasted the wrong thing). I'm not sure what to do here. I would ask your teacher for clarification.

Statement 3)  The statement is not a conditional statement because it does not include both an "if" and a "then" clause.

This is false. It is indeed a conditional even if it doesn't fit the exact parameters of "if ..., then " format. You could have a conditional that reads "it gets wet outside if it rains", which can be rearranged into "if it rains, then it gets wet outside". Both are considered conditionals even though the first one doesn't have "then".

Statement 4) The statement can be proven true or false

This is true. We can prove Galen's statement to be true or false. In this case, it can be proven to be true. This is one of the many divisibility rules.

Statement 5) The conclusion of the statement is written before the hypothesis.

This is false. The conclusion in this case is "the original number is divisible by 3" which is written after the hypothesis. There is a way to write the conclusion first by saying "a number is divisible by 3 if the sum of its digits are divisible by 3". But that isn't the case here.

answer: what

step-by-step explanation: