You draw a marble from a bag, don't replace it, and then draw a second marble from the bag. are the events independent or dependent

The correct answer is:

Dependent.

Explanation:

Dependent events are two events in which one outcome affects the probability of the other event.

When we draw a marble from a bag without replacement, we are removing one possibility from being drawn the next time.  This means the probability will change; thus the events are dependent.

include a picture of the drawing in order for me to

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)