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.)

On an average the number of points that a student will score is:

                                 -0.2

Step-by-step explanation:

The probability of choosing a correct answer = 1/5

( Since out of the 5 choices we have just one correct answer)

The probability of choosing a wrong answer = 4/5

( Since out of the 5 choices only one is correct and 4 are incorrect)

Scores received on correct answer = +3

Scores received on wrong answer = -1

The average scores, in long run will be equal to the expected value. The expected value E, in this case will be:

Thus, in long run, the student will score -0.2 points on average.  

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~