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).

i dont know

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.