For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
Answer:
No solutions
Step-by-step explanation:
Solve for x the system of two inequalities:

First, solve each inequality separately:
1.

2.

Now, we get

and

There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.
Answer:
Step-by-step explanation:
We are given the following in the question:
Let P be the number of professor and S be the student in a college.
According to the question:
There are 19 times as many students as professors.
We have to write an equation to show the given relationship between professors and students.

The above situation is the situation that represents the given relationship.
You add them and then divide by how many numbers there are.
a. (3+43)/2 = 23
b. 0
c. -1