Answer:
Step-by-step explanation:
Given
Solving (a): The median and the mode
First, we sort the data.
The median position is:
The 13th item is: 15.80
Hence:
The modes are:
--- they both have frequency of 2 while others occur once
Solving (b): The interquartile range
This is calculated as:
Since the median is at the 13th position, Q1 is:
The 7th item is: 15.20
Similarly, Q3 is:
The 7th item is: 17.55
So:
Hence,
Step-by-step explanation:
x + 2x + 3x = 180°
6x = 180°
Therefore, x = 30°
2 x = 60°
3x = 90°
Hence, it is a right angled triangle.
All you have to do is try out both of the equations with each of the different choices.
200 = 45 (3) + 20
200 = 135 + 20
200 = 155
200 = 35 (3) + 60
200 = 105 + 60
200 = 165
So, this one does not work.
--------------------------------------------
180 = 45 (3) + 20
180 = 135 + 20
180 = 155
180 = 35 (3) + 60
180 = 105 + 60
180 = 165
So, this one does not work.
----------------------------------------------
200 = 45 (4) + 20
200 = 180 + 20
200 = 200
200 = 35 (4) + 60
200 = 140 + 60
200 = 200
So this one works.
The answer would be C.
I hope this helps and I'm sorry it took so long!
Your answer to your question is A ;)
Answer: x = 34°
Explanation:
As per definition, complementary angles add up 90°.
In the figure you see angle A measures x + 22° and angle B measures x.
Therefore, according to the definition, you can set this equation:
x + 22° + x = 90°
Solve for x:
- start: x + 22 + x = 90
- combine like terms: 2x + 22 = 90
- subraction property: 2x = 90 - 22
- do the operation: 2x = 68
- division propery: x = 68/2
- do the operation: x = 34
Answer: x = 34°
