Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.
Since, perimeter is the total length of the outer boundary of the figure. Therefore,
Perimeter of the polygon is
Area of the polygon = Area of Rectangle + Area of Triangle
Step 1) Graph the line y = (-1/2)x + 3. This line goes through (0,3) as its y intercept and it also goes through (2,2). You can start at (0,3) and move down one unit and to the right two units to arrive at (2,2). The slope of the boundary line is -1/2, meaning that the rise is -1 and the run is 2. A negative rise indicates we go down instead of up.
Step 2) Make the line in step 1 to be a dashed line. This is because there is no "or equal to" as part of the inequality sign. The dashed line says that points on this line are not part of the solution set.
Step 3) Shade above the dashed line. We shade above due to the "greater than" sign. Points above the dashed line are in the shaded solution set. An alternative is to test a point like (x,y) = (0,0) and you'll find y > (-1/2)x+3 turn into 0 > 3 which is a false statement; therefore, (0,0) is not in the solution set. This is expected as (0,0) is below the dashed line.
The final result is what you see in the attached image below. Points A and B help set up the dashed boundary line. Point C is the test point mentioned above which is not in the blue shaded solution region.
Note: the points shown in the diagram are optional when it comes to showing the final answer to your teacher. All you need really is the boundary line and its proper shaded region.
Answer:
Variance = 24900
Standard Deviation = 157.7973
Step-by-step explanation:
We are given the following in the question:
Number of admissions: 1000 1200 1500
Admissions Probability: 0.6 0.3 0.1
Formula:
Variance =
Thus, the variance is 24900.
Standard Deviation =
Thus, the standard deviation is 157.7973