Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set.
Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set.
So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.
Answer:
57.1%
Step-by-step explanation:
We know that a coin has only two sides, heads or tails. Therefore if of the 84 times, 36 times he fell in heads, the other times he fell in tails.
84 - 36 = 48 times fell in tails.
Therefore to calculate the percentage that fell in tails, it would be the ratio between the number of times it fell in tails and the total number of experiments:
48/84 = 0.571, and that is 57.1%
Which means that 57.1% of the times the coin was thrown fell into tails.
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
Answer:
The PTSD Checklist for DSM-5 (PCL-5) is a 20-item self-report ... The PCL-5 is a 20-item self-report measure that assesses the 20 DSM-5 symptoms of PTSD. ... It takes approximately 5-10 minutes to complete. ... Bliese, P. D., Wright, K. M., Adler, A. B., Cabrera, O., Castrol, C. A., & Hoge, C. W. (2008).
Step-by-step explanation:
The solution to the system of equations is (8, -4)
<h3>How to solve the system?</h3>
The system of equations is given as;
y = -1/4x - 2
y = 3/8x - 7
See attachment for the graph of the equations
From the attached graph, we have the point of intersection to be
(x, y) = (8, -4)
Hence, the solution to the system of equations is (8, -4)
Read more about system of equations at:
brainly.com/question/14323743
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