Two events are independent if the knowledge of the first does not affect the probabilities of the outcomes of the second.
The first case represents independent events. In fact, when you toss the dime, you have no further information on the result of the tossing of the quarter - it's still heads or tails with probability 50/50.
On the other hand, the second case represents dependent events. In fact, when you pick the first card, you have probability 1/52 of getting any card from the deck. Since you keep the card before picking the next one, the second picking will not have the same probability: assume the first pick was the ace of hearts. For the second pick, you are sure that the ace of hearts can't be picked, and every other card has probability 1/51 of being picked. In other words, the knowledge of the first pick - the ace of hearts - changed the probabilities of the second pick, so the events are dependent.
In y=mx+b, m is the slope and b is the y intercept.
Slope: -2
Y-int: (0,8)
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
<span>The
distance of Cincinnati going to Charlotte, North CA = 336 miles
The distance of Cincinnati going to Chicago Illinois = 247 miles
Now, Let A = Charlotte, B = Cincinnati and C = Chicago. We assigned a variable
to each places to make our illustration simple.
Perry, came from Charlotte, she’s going to Chicago via Cincinnati:
A ------------------------------------------------- B = 336 miles
B ------------------------------------------------- C = 247 miles
A ------------------------------------------------- C = (A-B) + (B-C)
=> 336 + 247
=> 583 miles.</span>