20 ! given a regular deck of cards. describe a way of pulling cards that would create a dependent event and then one that would create an independent event.

Dependent event:  Were you to start with a deck of cards and draw 1 card at random.  Suppose you've drawn the king of hearts.  You don't  replace this card.  What are the chances that your next draw will be another heart?  Because you have not replaced the king of hearts, there are 12 hearts left, out of 51 (not 52) cards.  Your chances of drawing another heart are therefore 12/51.

Independent event:  You draw the Queen of Diamonds from your deck.  Then you replace this card and shuffle the deck.  Your chances of drawing the Queen of Hearts again is the same as before:  13 out of 52, since there are 13 hearts in the 52-card deck.

Step-by-step explanation:

A dependent event can be drawing two cards from a regular deck of cards without replacement.

An independent event can be drawing two cards from a regular deck of cards with replacement.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)