A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the gate. You need
to get a box of winter clothes from your storage container, but you forgot the code.
How many possible codes are there if the digits cannot be repeated?
What is the probability that you will guess the correct code on your first try?
P(correct code) = ______
How many possible codes are there if the digits cannot be repeated?
What is the probability that you will guess the correct code on your first try?
P(correct code) = ______
1 answer:
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Answer:
20)
19)
18)
17)
16)
15)
14)
13)
12)
11)
Step-by-step explanation:
20) {−2x - y = −9
{5x - 2y = 18
⅖[5x - 2y = 18]
{−2x - y = −9
{2x - ⅘y = 7⅕ >> New Equation
__________
[Plug this back into both equations above to get the x-coordinate of 4];
_______________________________________________
19) {−5x - 8y = 17
{2x - 7y = −17
−⅞[−5x - 8y = 17]
{4⅜x + 7y = −14⅞ >> New Equation
{2x - 7y = −17
_____________
[Plug this back into both equations above to get the y-coordinate of 1];
_______________________________________________
18) {−2x + 6y = 6
{−7x + 8y = −5
−¾[−7x + 8y = −5]
{−2x + 6y = 6
{5¼x - 6y = 3¾ >> New Equation
____________
[Plug this back into both equations above to get the y-coordinate of 2];
_______________________________________________
17) {−3x - 4y = 2
{3x + 3y = −3
__________
[Plug this back into both equations above to get the x-coordinate of −2];
_______________________________________________
16) {2x + y = 20
{6x - 5y = 12
−⅓[6x - 5y = 12]
{2x + y = 20
{−2x + 1⅔y = −4 >> New Equation
____________
[Plug this back into both equations above to get the x-coordinate of 7];
_______________________________________________
15) {6x + 6y = −6
{5x + y = −13
−⅚[6x + 6y = −6]
{−5x - 5y = 5 >> New Equation
{5x + y = −13
_________
[Plug this back into both equations above to get the x-coordinate of −3];
_______________________________________________
14) {−3x + 3y = 3
{−5x + y = 13
−⅓[−3x + 3y = 3]
{x - y = −1 >> New Equation
{−5x + y = 13
_________
[Plug this back into both equations above to get the y-coordinate of −2];
_______________________________________________
13) {−3x + 3y = 4
{−x + y = 3
−⅓[−3x + 3y = 4]
{x - y = −1⅓ >> New Equation
{−x + y = 3
________
_______________________________________________
12) {−3x - 8y = 20
{−5x + y = 19
⅛[−3x - 8y = 20]
{−⅜x - y = 2½ >> New Equation
{−5x + y = 19
__________
[Plug this back into both equations above to get the y-coordinate of −1];
_______________________________________________
11) {x + 3y = 1
{−3x - 3y = −15
___________
[Plug this back into both equations above to get the y-coordinate of −2];
I am delighted to assist you anytime my friend!