Which system of inequalities is shown in the graph?
1 answer:
Answer: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality would have the boundary line
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
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Answer:
1/2
Step-by-step explanation:
Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.
The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2
