What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B
Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.
2 - D
Median - The middle number of a data set that is arranged from least to greatest.
3 - True
There is no mode because all of the numbers only appear once.
4 - A
5 - C
By definition, supplementary angles are those whose sum is 180°
Therefore, ∠2 = 180 - ∠1
2x + 4 = 180 - 124
2x = 52
x = 26°
Answer:
42°
Step-by-step explanation:
For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.
/ |
Stream(27) / | Road( 20)
/__|
Fence
You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.
So 20/27 = .74 = Cos∅
To find the angle ∅ use inverse cosine to get 42°.
Hope that helps and let me know if I did anything incorrectly!
