Answer:
The probability that the buttons for 3 consecutive floors are pressed is or 0.0833
Step-by-step explanation:
Consider the provided information.
They are equally likely to want to go to floors 2 through 10.
That means the number of buttons are 9.
Each presses the button for their desired floor (unless one of the others has already pressed that button).
It means that if two people wants to go at the same floors, then only one person will press the button.
Therefore, the total number of ways are: 9×8×7=504
Three consecutive floors means they have been picked:
2,3,4 or 3,4,5 or 4,5,6 or 5,6,7 or 6,7,8 or 7,8,9 or 8,9,10
We have 3 persons that means we can arrange them in 3! ways.
Therefore, the total number of favorable outcomes for this case is 7×3!=42
Hence, the probability that the buttons for 3 consecutive floors are pressed is or 0.0833
Answer:
A(10,-2).
Step-by-step explanation:
It is given that, on a coordinate plane, a triangle has points A'(-2, 10), B'(-6, 4), and C'(-10, 8).
We need to find the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x.
If a figure reflected across the line y=x, then
It is given that A'(-2,10).
On comparing both sides, we get
Therefore, the coordinates of preimage of A' are (10,-2).
Answer:
To make f continuous at ,
should be defined
Step-by-step explanation:
A function, let say , is defined at
is continuous at
If the limit of as
approaches
is equal to the value of
at
.
Mathematically it is written as:
if
then
is continuous at
.
So from the above definition, we conclude that:
To make f continuous at ,
should be defined
i.e.
if
then
is continuous at
.
