(a) x= 0,1,2..........10 (b) p=0.02 (c) standard deviation = 0.44 (d) p=0.18. A comprehensive explanation of the answer is available in the attached file.
Answer:
We have the following details:
Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:
The margin of error is mentioned in the question as:
Since we lack information about the previous proportion, we need to assume 
.
Therefore, the required sample size is:
Thus, it requires 664 sample observations.
The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
Response:
Detailed explanation:
Line PU acts as a transversal intersecting parallel lines QR and ST
The angles PRQ and UST sum to 180 degrees
- 15(x+2) = 180 - 135
- 15x + 30 = 45
- 15x = 15
- x = 1
