Answer:
The answer to your question is 26.75
Step-by-step explanation:
Top triangle = 3.5 x 9 = 31.5. Since it is a triangle, it has to be split in half (15.75).
Bottom left triangle = 2 x 2 = 4. Since this is also a triangle: 4 split in half is 2.
Bottom square = 2 x 2 = 4.
Bottom right triangle = 5 x 2 = 10. Since it is a triangle, 10 / 2 = 5.
After you get the area of each individual shape, add them together to get 26.75.
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1. Mean of the data: 8
2. Median: 8
3. IQR = 4
4. Members that use the facility 10 days a month is: 2.
See reasons below.
<h3>What is the Mean, Median, and Interquartile Range of a Data?</h3>
Mean = sum of all values ÷ number of data values (easily solved using a dot plot
Median = middle value (easily found using a box plot).
Interquartile range (IQR) = Q3 - Q1 (easily found using a box plot).
1. Mean of the data: use the dot plot.
Reasoning: (3 + 3 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 11 + 12 + 14)/15 = 8
2. Median of the data set: Using the box plot, it is the value indicated by the vertical line that divides the box.
Median = 8
3. IQR = Q3 - Q1 = 10 - 6
IQR = 4
4. Members that use the facility 10 days a month, using the dot plot is: 2. 10 has 2 dots.
Learn more about the mean, median, and interquartile range on:
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There are 1000 milligrams in a gram (milli: 1/1000). Multiply 1000 by 5 g.
Final answer: 5000 mg.
Answer:
AC = { 4, 5, 6, 7 }
Step-by-step explanation:
If you see, the diagonal AC forms two triangles, Δ ABC, and Δ ADC. In Δ ABC, AC = 3 units and BC = 6 units, while AC is yet to be known. Respectively in Δ ADC, AD = 4 units and CD = 4 units, while AC is again yet to be known.
In both triangles the triangle inequality can help find the possible value( s ) of AD, as this inequality only restricts some of the possible values with which AC can take. At the same time AC is shared among the two triangles, so if we can apply the Triangle Inequality to both of these triangles, the value of AC can be " further restricted. "

And there we have two inequalities, 3 < AC < 9, and 0 < AC < 8. Combining both inequalities the only possible integer values for AC would be 4, 5, 6, and 7.