<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The first system of inequality is the following:
To find the solution here, let's take one point, say, and let's taste this point into both inequalities, so:
<h3>FIRST CASE:</h3>
First inequality:
The region is not the one where the point lies
Second inequality:
The region is the one where the point lies
So the solution in this first case has been plotted in the first figure. As you can see, there is no any solution there
<h3>SECOND CASE:</h3>
First inequality:
The region is the one where the point lies
Second inequality:
The region is not the one where the point lies
So the solution in this first case has been plotted in the second figure. As you can see, there is a solution there.
CONCLUSION: Notice that when reversing the signs on both inequalities the solution in the second case is the part of the plane where the first case didn't find shaded region.
Answer:
0.9641 or 96.41%
Step-by-step explanation:
Mean career duration (μ) = 88 weeks
Standard deviation (σ) = 20
The z-score for any given career duration 'X' is defined as:
In this problem, we want to know what is the probability that the professor's son's next career lasts more than a year. Assuming that a year has 52 weeks, the equivalent z-score for a 1-year career is:
According to a z-score table, a z-score of -1.8 is at the 3.59-th percentile, therefore, the likelihood that this career lasts more than a year is given by:
Think of two points on a straight line. The first point is (0,8) representing 8 employees at time 0. The second point is (6,26), representing 26 employees after six months have gone by.
26-8
The slope of this line is m = ---------- = 18/6 = 3
6-0
This indicates that 3 new employees are taken on on average each month.
This situation can be represented as
E(x) = 8 + 3x, where x is the number of months that have passed, and E(x)
represents the number of employees at that point in time.