Local Max: x=3
Local Min: x=-9
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 Linear pair
∠4 + ∠5 +∠ 3 = 180 form straight line
∠1 + ∠2 = ∠4 + ∠5 + ∠3 from statement 1 and 2
∠3 +∠2 = ∠4 + ∠5 + ∠3 ∠1 and ∠3 are vertically opposite angles.
∠2 = ∠4 + ∠5 Proved
B) 12 inches would be the most accurate measurement.
Since the ruler is exactly 1 foot long, the most accurate measurement is 12 inches. 12.005 is a tempting answer, since it is the most specific/exact, but 12 inches is the most accurate, since this is equal to exactly one foot.
Answer:
(0.6430, 0.8170)
Step-by-step explanation:
Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.
Sample size n = 100
Sample proportion p = 
q = 1-p = 0.23
Std error of proportion = 
95% Z critical value = 1.96
Margin of error = 
Confidence interval = sample proportion ±margin of error
0.642983946
0.817016054
(0.6430, 0.8170)