Answer:
6
Step-by-step explanation:
3x plus 12= 8x -18
subtract twelve on both sides:
3x= 8x- 30
minus 8x on both sides:
-5= -30
divide:6
Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:

x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:

B. 40, 120, 360, 1080
C. 200,20,2,0.2,0.002
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:

You must observe the figure given in the exercise.
You can notice that the given triangle EFG is a Right triangle (Right triangles are defined as those triangles that have an angle that measures 90 degrees).
So, you can identify in the figure that:
So, knowing these values, you can substitute them into
and then you must evaluate (Remember to round the result to the nearest hundreth).
Therefore, through this procedure you get:
