Tim’s bank requires its customers to have a 4-digit personal identification number (pin) to access their accounts. if each digit can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be tim’s pin? a. 1 6,561 b. 1 5,040 c. 10,000 d.1 10,000

1/10000

Step-by-step explanation:

There are 10 choices for each of the 4 digits.  This means the total number of choices for the PIN are

10(10)(10)(10) = 10000

The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316