8. Hector has 15 shirts in his drawer that are all the same

size and shape.

6 shirts are white

4 shirts are blue

3 shirts are red

2 shirts are green

Hector randomly selects two shirts without replacement.

The outcome of the second shirt is -

A. dependent on the outcome of the first shirt, because not

replacing the first shirt affects the outcome of the second

shirt.

independent of the outcome of the first shirt, because not

replacing the first shirt does not affect the outcome of the

second shirt.

C. independent of the outcome of the first shirt, because not

replacing the first shirt affects the outcome of the second

shirt

D. dependent on the outcome of the first shirt, because not

replacing the first shirt does not affect the outcome of the

second shirt

Option A.

Step-by-step explanation:

Hector has 15 shirts in his drawer that are all the same size and shape. 6 shirts are white, 4 shirts are blue, 3 shirts are red and 2 shirts are green.

It is given that randomly selects two shirts without replacement.

In without replacement the outcome is dependent on preceding outcome and in with replacement the outcome is independent of preceding outcome.

The outcome of the second shirt is dependent on the outcome of the first shirt, because not replacing the first shirt affects the outcome of the second shirt.

Therefore, the correct option is A.

the answers are in the images, i received 100% on this assignment. hope this !

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)