Answer:

Step-by-step explanation:
For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52
First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

So then 12 C5 would be equal to:

So we have 792 was in order to select 5 diamonds from the total of 12
Now in order to select 3 clubs from the total of 12 we have the following number of ways:

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

Answer:
The passengers have an average of 8.15 minutes to wait in line
Step-by-step explanation:
Using Little's law
Average Inventory = Average Flow Time * Average Flow Rate
Average Inventory = 220 passengers
Average Flow Rate = 27
Average Flow time =?
So,
220 = Average Flow Time * 27
Average Flow Time = 220/27
Average Flow Time = 8.14814814814
Average Flow Time = 8.15 --------- Approximated
So the average wait time for a passenger is 8.15 minutes
Answer:
x= -13
Step-by-step explanation:
because 2 squared is 4 and -13 + 4= -9
Answer:
No.
Step-by-step explanation:
Let's substitute the given coordinate pair into each inequality:
Since this coordinate pair does not satisfy the inequality (note the coordinate pair must satisfy BOTH inequalities), therefore (-5, -4) is not a solution to this system of inequalities.