Answer:
A. (8, 7), B (19, −12), C (−21, 14)
Step-by-step explanation:
You swap the X and Y coordinate for reflections over y=x
Answer:
The answer would be letter J
Answer:
a) 74.0353 < u < 74.0367
b) 74.036 < u
Step-by-step explanation:
Given:
- Sample size n = 15
- Standard deviation s.d = 0.0001 in
- Sample mean x_bar = 74.036
Find:
A) Calculate the 99% two-sided confidence interval on the true mean piston diameter.
Solution:
- For 99% CI, We have a = 0.01 , and Z_a/2 = 2.58
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u < (x_bar + Z_a/2*s.d / sqrt(n))
------> (74.036 - 2.58*0.0001 / sqrt(15)) < u < (74.036 + 2.58*0.0001 / sqrt(15))
------> 74.0353 < u < 74.0367
Find:
B) Calculate the 95% one-sided lower confidence interval on the true mean piston diameter.
Solution:
- For 95% lower CI, We have a = 0.05 , and Z_a = 1.645
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u
------> (74.036 - 1.645*0.0001 / sqrt(15)) < u
------> 74.036 < u
We need to find the hypotenuse of the triangle. We can find that by using the Pythagorean theorem: a² + b² = c²
Solve with the given values of the triangle:
2² + 4² = c²
4 + 16 = c²
20 = c²
√20 = √c²
4.47 ≈ c
Find the area of the square using: A = bh
4.47 * 4.47 = 19.9809
Therefore, the area of the square is approximately 19.9809units²
Best of Luck!
Answer:
your answer will be 2 hours and 10 minutes
