Is the function represented by the table linear?
1 answer:
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The total height of the building in question is;
600 ft
<h3>Angle of Elevation</h3>The ledge of a wall is simply a projection from a building.
Now, we are told that this ledge is 300 ft from the building.
- Angle of elevation to the building top = 60°
- Angle of depression to the building bottom = 15°
Now, from the attached image, the distance from the ledge on the building wall to the top of the building is x.
- Thus, by trigonometric ratio;
x/300 = tan 60
x = 300 × 1.732
x ≈ 520 ft
- Similarly, via trigonometric ratio;
y/300 = tan 15
y = 300 × 0.2679
y ≈ 80
Thus;
Height of building = 520 + 80
Height of building = 600 ft
Read more about angle of elevation at;brainly.com/question/2881595
Answer:
a)
b)
c)
d)
e)
A possible outlier would be the value of 69 since its above the upper limti for the boxplot.
Step-by-step explanation:
For this case we have the following dataset:
55 56 44 43 44 56 60 62 57 45 36 38 50 69 65
A total of 15 observations
Part a
We calculate the mean with the following formula:
And for this case we got
For the median we ust need to order the data on increasing way like this:
36, 38,43,44,44,45,50,55,56,56,57,60,62,65,69
Since the number of observations is an odd number the median would be on the 8 position from the dataset ordered on this case:
Part b
In order to calculate the Q1 we need to select the following data:
36, 38,43,44,44,45,50,55
And the Q1 would be the average between the 4 and 5 positions like this:
And for the Q3 we select these values:
55,56,56,57,60,62,65,69
And the Q3 would be the average between the 4 and 5 positions like this:
Part c
The Range is defined as:
Part d
In order to calculate the sample variance we can use the following formula:
And if we replace we got:
And the deviation is just the square root of the variance:
Part e
For this case we need to find the lower and upper limits for the boxplot given by:
A possible outlier would be the value of 69 since its above the upper limti for the boxplot.