Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
1 answer:
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Explanation:
When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.
The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.
When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.
Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:
- x > ... or x ≥ ... ⇒ shading is to the right of the boundary
- y > ... or y ≥ ... ⇒ shading is above the boundary
Otherwise, the shaded solution space will be below or to the left of the boundary line.
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Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.
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The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.
Answer:
Let the complaints by Industry be CbI
CbI Frequency
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
b) Percentages
CbI percentage (%)
Bank 13
Cable 22
Car 21
Cell 30
Collection 14
c) The industry with the highest number of complaints is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
Step-by-step explanation:
a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.
b) The percentage for each industry is done in comparison to the the total amount of complaints received.
Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)
Total amount of complaints received = 200
For Bank industry,
Percentage = 100% × (26/200) = 13%
For the Cable Industry,
Percentage = 100% × (44/200) = 22%
For Car industry,
Percentage = 100% × (42/200) = 21%
For Cell industry,
Percentage = 100% × (60/200) = 30%
For Collection industry,
Percentage = 100% × (28/200) = 14%
c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.
d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.
