Answer:
The answer is below
Step-by-step explanation:
From the table, the mean (μ) = 1390.75 and the standard deviation (σ) = 518.75
The confidence level (C) = 90% = 0.9
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 (0.05) is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.645.
The margin of error (E) is given as:
The confidence interval = μ ± E = 1390.75 ± 228.07 = (1162.68, 1618.82)
The confidence interval is between 1162.68 and 1618.82.
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).
Hello,
We know that
1/Angle 1= Angle 6= Angle 9= Angle 14=Angle 3= Angle 8= Angle 11= Angle 16
2/Angle 2= Angle 5= Angle 10= Angle 13= Angle 4=Angle 7=Angle 12= Angle 15
Check:
Option A:
Angle 2= Angle 7
Parallel
Option B:
Angle 3= Angle 11
Parallel
Option C:
Angle 1= Angle 12
None
Option D:
Angle 13= Angle 12
Parallel
Option E:
Angle 6 angle 7 are supplementary; supplementary means that both angles add up together to get 180°. To help you understand clearly, you see that when the two angle on the same line like angle 5 and 6, angle 1 and 5. However, for this one it will be False because both angle are obtuse which more than 90°. Hope it help!
It would most likely take 3-4 hours, maybe even 5.
