A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each
1 answer:
Answer:
Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,
Therefore, the volume of earth removed to build the three tunnels is .
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The first thing you need to do is get the median of the whole set.
The median is the center so since there are 17 numbers the center is 69 and 69 is Q2
Next we need to find Q1 Q3 and Q4 Also, are whiskers are below.
Whisker minimum = 55
Whisker maximum = 91
Now to find Q1 we have to get the median of the first half of the data.
We need to get the median of the following data set.
55, 56, 57, 58, 58, 64, 65, 66
(58+58) / 2 = 58
Q1 = 58
Now we need to find Q3. To do that we get the median of the second half of the data.
75, 77, 78, 81, 81, 85, 86, 91.
(81 + 81) / 2 = 81
Q3 = 81
Now we have all our quartiles and whiskers, which are below, it is time to create our box and whisker plot. Note, create a horizontal or vertical number line with appropriate data. Also the box part is from Q1 to Q3 and your whiskers goes from your minimum to your box and from your maximum to your box.
Whisker Minimum = 55
Q1 = 58
Q2 = 69
Q3 = 81
Whisker Maximum = 91
The median is the center so since there are 17 numbers the center is 69 and 69 is Q2
Next we need to find Q1 Q3 and Q4 Also, are whiskers are below.
Whisker minimum = 55
Whisker maximum = 91
Now to find Q1 we have to get the median of the first half of the data.
We need to get the median of the following data set.
55, 56, 57, 58, 58, 64, 65, 66
(58+58) / 2 = 58
Q1 = 58
Now we need to find Q3. To do that we get the median of the second half of the data.
75, 77, 78, 81, 81, 85, 86, 91.
(81 + 81) / 2 = 81
Q3 = 81
Now we have all our quartiles and whiskers, which are below, it is time to create our box and whisker plot. Note, create a horizontal or vertical number line with appropriate data. Also the box part is from Q1 to Q3 and your whiskers goes from your minimum to your box and from your maximum to your box.
Whisker Minimum = 55
Q1 = 58
Q2 = 69
Q3 = 81
Whisker Maximum = 91