Select the correct answer. the probability of a student scoring 75% in class work is 0.64, and the probability of a student scoring 85% is 0.45. event a: the student scores 75%. event b: the student scores 85%. the probability of a student scoring 85% in class work, given that they have already scored 75% in class work, is 0.55. the probability of a student scoring 75% in class work, given that they have already scored 85% in class work, is 1. which statement is true? a. events a and b are independent because p(a|b) = p(a). b. events a and b are independent because p(a|b) = p(b). c. events a and b are independent because p(a|b) = p(a) + p(b). d. events a and b are not independent because p(a|b) ≠ p(a). e. events a and b are not independent because p(a|b) = p(a).

Events A and B are not independent because P(A|B) ≠ P(A).

Step-by-step explanation:

We are given that the probability of a student scoring 75% in class work is 0.64, and the probability of a student scoring 85% is 0.45.

Given that a student scores 85%, it means he must have scored 75% too.

It means that event B is dependent on event A.

Therefore, events A and B are not independent because P(A|B) ≠ P(A).

answer is 67%

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

~