Answer: x=-7 and x=9
Asummung you are solving for x
x+7=0
x=-7
-x+9=0
-x=-9
x=9
A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is



P = 0.1
Answer: 20;
w - width
3w - 1 - length
54 in - perimeter
w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter
The equation:
8w - 2 = 54 add 2 to both sides
8w = 56 divide both sides by 8
w = 7
3w - 1 = 3(7) - 1 = 21 - 1 = 20
Answer: The length = 20 in.
Step-by-step explanation:
Answer:
(1,12) and (2,12).
(- 5,1) and (- 5, 2).
Step-by-step explanation:
y = 12 is a line that is parallel to the x-axis and at a constant distance of 12 units above the x-axis. Therefore, the points on the line will have any x-coordinate but have a constant y-coordinate i.e. 12.
Therefore, the two points on the line y = 12 can be (1,12) and (2,12).
x = - 5 is a line that is parallel to the y-axis and at a constant distance of 5 units left of the y-axis. Therefore, the points on the line will have any y-coordinate but have a constant x-coordinate i.e. - 5.
Therefore, the two points on the line x = - 5 can be (- 5,1) and (- 5, 2). (Answer)