Answer:
6
Step-by-step explanation:
Difference between n and 3 is 3-n
Multiplied by -6: -6(3-n)
-6(3-n) = 18
3-n = -3
n = 3+3 = 6
Answer:
40,320.
Step-by-step explanation:
We are asked to find the number of ways in which 8 books could be arranged on a shelf.
The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.
Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.
So the 8 books can be arranged in 
Therefore, 8 books could be arranged in 40,320 ways.
Answer:
a) Let r be a random number generated in the interval (0, 1). If we multiply r by n we will obtain a random number in the interval (0, n). We take the integer part of r*n+1 to generate a random integer between 1 and n.
Suppose that the tickets are numered and we order them ascendently. We generate a random integer K from 1 to 150 and we take the Kth ticket in the ordered list of tickets to design the first passanger to go to first class. We put the remaining tickets in order and pick another one by selecting, this time, a number from 1 to 149 (because we removed one ticket). Then we do this a third time to pick a passanger to the business class by picking a number from 1 to 148 and selecting the respective ticket.
After we select the 3 affortunate passangers, we select other 6 more using this same method to rebook them to a later flight.
b) You may move randomly two passangers from business class to first class and then move 3 passangers from economy class to business class, thus, a passanger that pay for a more economic ticket wont be in a more expensive site. Also, if the tickets are numered in order of purchase, then you can, instead of making a random selection, move only passangers with the lowest numbers.
Answer: the system of equations are
x + y = 22
x + 1.5y = 30
Step-by-step explanation:
Let x represent the number of math problems that Olivia solved.
Let y represent the number of pages that Olivia read.
Olivia completed a total of 22 math problems and pages of reading. This means that
x + y = 22- - - - - - - - - - - - - - -1
Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that
x + 1.5y = 30 - -- - - - - - - - - -2
