Aquiz has multiple-choice questions, each with 5 choices. the answer possibilities are distributed evenly. if a student gets a correct answer they will receive +3 points. if they leave it blank, they will receive 0 points. if they write an incorrect answer, they will receive -1 point. a student guesses the answers to some questions. determine on average, in the long run, how many points the student will score. (write your answer as a decimal, with a minus sign if needed.) a0 points per question

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.

Find the value of the variable and the length of each chord for #5 and #6.