18 inches................
Answer:
Step-by-step explanation:
The interior is a parallelogram when adjacent angles are supplementary. This requires ...
(x -30)° + (x +50)° = 180°
2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °
2x = 160 . . . . . . . . . . . . . . . subtract 20
x = 80 . . . . . . . . . . . . . . . . . divide by 2
Then the angle x+50 is ...
(x +50)° = (80 +50)° = 130°
This is also the measure of the angle marked y.
For the lines to be parallel, x = 80, y = 130°.
What z score in a normal distribution has 33% of all score above it?
Answer: A z score which has 33% of all scores above it, will have 67% of all scores below it.
To find the required z score, we need to find the z value corresponding to probability 0.67.
Using the standard normal table, we have:

Therefore, the z score = 0.44 has 33% of all score above it.
If a single board measures 1/12 of a meter then it would take 12 boards to make a meter. Since, the stack is 2 meters high. You would multiply 12 and 2 to get 24. There is 24 boards in the stack.
Answer:
Thx a lot
Step-by-step explanation: