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: The required probability is 0.32.
Step-by-step explanation:
Since we have given that
Probability of winning team A over B = 0.7
Probability of losing team A over B = 0.3
Number of matches = 7"
So, using the "Binomial distribution" :
We get that

Hence, the required probability is 0.32.
Answer:


Step-by-step explanation:
A vector quantity is represented by 
where y = y-coordinate and x = x-coordinate
Since vector AB represents a vector in 3rd quadrant,
It starts from point A and ends at B,
Therefore, coordinates of B are (-9, -4)
= 
Similarly vector CD starts with C and ends at D in the 2nd quadrant,
Therefore coordinates of D will be (-5, 4)

Answer:
Divide both sides by 9.
Step-by-step explanation:
To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.
Step 1: Add 23 to both sides.
Step 2: Divide both sides by 9.
Therefore, the second step is divide both sides by 9.
Have a lovely rest of your day/night, and good luck with your assignments! ♡