Answer:
Well, assuming that these are cubes labeled 1-6, there is a 1/12 chance of the sum equaling 2, since they would both have to land on 1
Step-by-step explanation:
Answer:
The correct answer is the first set {(-1, 8), (0, 5), (2, -1), (3, -4)}
Step-by-step explanation:
In order to determine if the set works, input each ordered pair to see if the statement ends up true. The first two ordered pairs are done below.
(-1, 8)
f(x) = -3x + 5
8 = -3(-1) + 5
8 = 3 + 5
8 = 8 (TRUE)
(0, 5)
f(x) = -3x + 5
5 = -3(0) + 5
5 = 0 + 5
5 = 5 (TRUE)
1 is not. 2 is. 3 is not. 4 is. 5 is. 6 is. 7 is not. 8 is.
Answer:
The answer is 
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element 
there exist another element, denoted by 
such that 
, where 
stands for the identity element of G.
So, given the equality 
we make a left multiplication by 
and we obtain:
But, 
. Hence, 
.
Now, in the equality we make a right multiplication by 
, and we obtain
.
Recall that 
and 
. Therefore,
.
Answer:
15" by 10"
Step-by-step explanation:
Use a proportion.
10'/5" = 30"/x
10x = 5 * 30
10x = 150
x = 15"
10'/5" = 20'/y
10y = 5 * 20
10y = 100
y = 10"
Answer: 15" by 10"
