Answer:
B
Step-by-step explanation:
Answer:
The events a) and c) are mutually exclusive.
Step-by-step explanation:
a) This is mutually exclusive, each card has a unique value between 2 and 10, or it is a jack, queen, king, or an Ace. A single card cant have two different values at the same time.
b) This is not mutually exclusive, since you can get a king of clubs. Each card can have any combination of one suit and one value.
c) A face card is either a Jack, a Queen or a King, it is not an Ace. For the same argument of a), a card cant have two different values, therefore this event is mutually exclusive.
d) This is not mutually exclusive, since a card can have any suit independently of the value it has (same argument than b), therefore, a card can be a face card and a spade at the exact time.
Therefore, events a and c are mutually exclusive.
Well, because it is two years, 50x2 is 100 so 1000+100=1100
Then, you would do .25x1000 which is 2.5. That would mean you get 2.5 dollars back every month.
Therefore, your answer is...
C. $1161.76
Answer:

Step-by-step explanation:
Entrance fee per head = d
Entrance fee for the 5 friends = 5*d = 5d
Booklet of ride ticket per head = 2.5d
Booklet of ride ticket for the 5 friends = 5(2.5d)
Meal ticket per head = d - 4
Meal ticket for the 5 friends = 5(d - 4)
Total amount paid altogether by the five friends = 
From this breakdown above, the total amount paid by the 5 friends for their meal tickets = 
While the vertex of the function f(x) = x^2 is (0, 0), the vertex of the function g(x) = x^2 + 2x + 1 is (-1, 0).
Whereas both function has same y-cordinate, their x-coordinate are different which indicates that the function g(x) = x^2 + 2x + 1 is a horizontal translation of the function f(x) = x^2.