Answer:



.
Step-by-step explanation:
We use the Venn diagram to calculate the desired probabilities.
Note that there are 6 possible results in the sample space
S = {1, 2, 3, 4, 5, 6}
Then note that in the region representing the intercept of A and B there are two possible values.
So

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}
So

In the region that represents event B there are 3 possible outcomes {1, 2, 6}
So
.
Now


Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²
Answer:
4y-x
Step-by-step explanation:
Combine like-terms.
6y-2y and -3x+2x
Do the Math
4y and -x
4y-x
Answer:
x cannot be -4,-3, or 13
x can be anything else
Step-by-step explanation:
There are infinitely many values x can take where the relation above will be a function.
For it to be a function, you just need to make sure each x is only assigned one y value.
So x couldn't be -4 because it would by assigned to y=2 and y=0.
x couldn't be -3 because it would be assigned to y=1 and y=0.
x couldn't be 13 because it would be assigned to y=5 and y=0.
So as long as x is not chosen to be -4,-3, or 13 your relation here is a function.
(1/2)x + x + (1/5)y + y = 32
(3/2)x + (6/5)y = 32