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.
Answer:
a)38760
b)5005
c)210
Step-by-step explanation:
Given that
20 identical sticks
We have to 6 of them
a)
The number of choice will be 
.
b)
The number of choices if no two of the chosen sticks can be consecutive will be 
.
c)
|xx|xx|xx|xx|xx|
Total seven positions are available
So
4-0-0-0-0-0-0 7!/6!=7
3-1-0-0-0-0-0 7!/5!=42
2-2-0-0-0-0-0 7!/2!5!=21
2-1-1-0-0-0-0 7!/2!4!=105
1-1-1-1-0-0-0 7!/4!3!=35
Now by adding all 7+42+21+105+35=210
Step 1: Write the amount of savings in equation
Linda's savings: s=1.55d
Tyron's savings: m=3.90d
Step 2: Add on the extra days to Linda's savings
Linda's savings s=1.55d+3(1.55)
Step 4: Simplify equation
s=1.55d+3(1.55)
s=1.55d+4.66
Step 5: Substitute numbers for d days until Tyron's m savings is greater than Linda's s saving
m=3.90d s=1.55(2)+4.66
m=3.90(2) s=3.10+4.66
m=7.80 s=7.76
On Tyron's second day he will have more money in his savings than Linda does.
Answer:
The area of the sumo wrestling ring is 
Step-by-step explanation:
The circumference of the circular sumo wrestling ring is 
, that means its radius 
is:
Now once we have the radius of the sumo wrestling ring we can find its area 
by the following formula:
Putting in the value of 
we get:
Therefore the area of the sumo wrestling ring is 
Answer:
240- 360
Step-by-step explanation:
You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.
I'm not sure if this is correct but this is how I would go about it. :)
