A multiple-choice test has
six possible answers for each question.

(a) If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?

(b) If the student first eliminates
one of the six possible answers and guesses from the remaining possibilities, what is the probability that he or she selects the correct answer to that question?

a. About 17% or

Because there is only 1 possible correct answer out of 6 choices.

b. 20% or

Because now the student eliminated 1, and there is 5 choices left. But only 1 is correct.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct