Answer:
<u>45°</u>
Step-by-step explanation:
From the diagram :
- ∠AOC = ∠AOB + ∠BOC
- 96 = 9x - 75 + 8x - 67
- 17x - 142 = 96
- 17x = 238
- x = 238/17
- x = 14
Finding ∠BOC :
- ∠BOC = 8x - 67
- ∠BOC = 8(14) - 67
- ∠BOC = 112 - 67
- ∠BOC = <u>45°</u>
Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,


The formula of variance is given below,



The variance of the data is 99667.19


The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
For this case we have the following function:

The first thing you should do is graph the function to see the behavior.
When observing the graph (in the attached image) we observe that the following point belongs to the graph:

To prove it, let's evaluate the point in the function:

The equation is fulfilled and therefore the point belongs to the graph.
Answer:
(6.2, 7.4)
See attached image