Two number cubes are rolled for two separate events: event a is the event that the sum of numbers on both cubes is less than 10. event b is the event that the sum of numbers on both cubes is a multiple of 3. list the members of the sample space for event a.

A = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

If we roll two dices we get the possible outcomes:

(1,1) ; (1,2) ; (1,3) ;(1,4) ; (1,5) ;(1,6)

(2,1) ; (2,2) ; (2,3) ;(2,4) ; (2,5) ;(2,6)

(3,1) ; (3,2) ; (3,3) ;(3,4) ; (3,5) ;(3,6)

(4,1) ; (4,2) ; (4,3) ;(4,4) ; (4,5) ;(4,6)

(5,1) ; (5,2) ; (5,3) ;(5,4) ; (5,5) ;(5,6)

(6,1) ; (6,2) ; (6,3) ;(6,4) ; (6,5) ;(6,6)

outcomes = 36

Numbers that give the sum less than 10 are: (1,1) ; (1,2) ; (1,3) ;(1,4) ; (1,5) ;(1,6) ;(2,1) ; (2,2) ; (2,3) ;(2,4) ; (2,5) ;(2,6) ;(3,1) ; (3,2) ; (3,3) ;(3,4) ; (3,5) ;(3,6); (4,1) ; (4,2) ; (4,3) ;(4,4) ; (4,5);(5,1) ; (5,2) ; (5,3) ;(5,4) ;(6,1) ; (6,2) ; (6,3)

Total number of  favourable events of numbers on both cubes that give a sum less than 10 = 30

Probability = 30/36

the members of the sample space for event A are:

A = {1,2,3,4,5,6,7,8,9}

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.