Answer:
The total number of codes which can be assigned is, 55440 .
Step-by-step explanation:
According to the question, the home alarm system randomly assigns a five-character code for each customer.The code will not repeat a character and there are 11 distinct characters.
So, the total number of codes that can be randomly assigned is given by,

= 
= 
= 55440
Answer:
Therefore, the volume of sphere is 1436.03 cubic units.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Option B is correct - angle ABE is less than 90 degrees, therefore it is acute, and angle DBC is greater than 90 degrees, therefore it is obtuse.
Answer:
8.892
Step-by-step explanation:
15-6.108= 8.892
With a 12% discount, 18.48 is the price per ticket (2.52 per ticket saved). In order to determine the amount of tickets, we divide the saved amount by the amount saved per ticket.
819/2.52 is 325.
There were 325 tickets purchsed.