Answer:
(- 9, - 9)
Step-by-step explanation:
Given the 2 equations
3x - 4y = 9 → (1)
- 3x + 2y = 9 → (2)
Adding (1) and (2) will eliminate the term in x
(1) + (2) term by term
(3x - 3x) + (- 4y + 2y) = (9 + 9)
0 - 2y = 18
- 2y = 18 ( divide both sides by - 2 )
y = - 9
Substitute y = - 9 into (1) or (2) and evaluate for x
(1) → 3x + 36 = 9 ( subtract 36 from both sides )
3x = - 27 ( divide both sides by 3 )
x = - 9
Solution is (- 9, - 9)
Answer:
205.81 to 214.19
Step-by-step explanation:
Sample size (n) = 50
Sample mean weight (X) = 210 grams
Sample standard deviation (s) = 18 grams
Confidence coefficient (Z) at 90% = 1.645
The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

The confidence interval is 205.81 grams to 214.19 grams.
Answer:
6.7
Step-by-step explanation: