Ahome alarm system randomly assigns a five-character code for each customer. the code will not repeat a character. the characters are 1, 2, 3, 4, 5, e, m, t, g, y, and r. what is the total number of codes that can be randomly assigned?
a.) 1,320
b.) 95,040
c.) 9,540
d.) 11,880

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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734