Answer:
In the picture above
Step-by-step explanation:
I hope that it's a clear solution and explanation.
Goodluck.
There are 5 people who can be guards, 2 will be guards. Since each person has the same chance of becoming a guard, each person has a 2/5 chance of being a guard which makes it unlikely for Diana to become a guard.
Answer:
<em>Correct Answer: D</em>
Step-by-step explanation:
<em>Geometric Sequence
</em>
We can find each term of a geometric sequence if we have the general formula by replacing n for any integer number in the given domain. n must be an integer because it's the position where the term is located. For example,
is the term located in position 2, so n cannot be irrational or decimal. The sequence provided is

The variable n starts from 0 and has no limit, so the domain is a set of integers


Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).
In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.
Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:

Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
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Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.