Answer:
║x - 175,000║≤ 20,000
Step-by-step explanation:
Let x be the amount the Fraziers are willing to pay. Since the house costs $175,000 and they are willing to deviate from this price no more than $20,000, so x = $175,000 ± $20,000.
So, x - 175,000 = ± 20000
║x - 175,000║= 20,000
But we require
║x - 175,000║≤ 20,000
which is our required open sentence.
Answer:
(2, -5)
Step-by-step explanation:
Convert to vertex form:
3x^2 - 12x + 7
= 3(x^2 - 4x) + 7
Completing the square:
= 3[ (x - 2)^2 - 4)] + 7
= 3(x - 2)^2 - 12 + 7
= 3(x - 2)^2 - 5.
Comparing with the general form
a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).
Answer:
The 80% confidence interval for difference between two means is (0.85, 1.55).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for difference between two means is:

Given:

Confidence level = 80%

*Use a <em>t</em>-table for the critical value.
Compute the 80% confidence interval for difference between two means as follows:

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).