Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
Answer:
0.38 l
Step-by-step explanation:
Bottles:
- 650 ml
- 0.38 l= 380 ml
- 5020 ml
- 0.045 l= 45 ml
Closest to 1/2 l= 500 ml volume? The difference between the given and 500 ml volume:
- 650 ml- 500 ml= 150 m
- 380 ml- 500 ml= -120 ml
- 5020 ml- 500 ml= 4520 ml
- 45 ml- 500 ml= - 455 ml
The smallest absolute difference in the list above is -120 so the closest one to 1/2 liters is 380 ml= 0.38 l
Answer: (36.7, 39.3)
Step-by-step explanation:
Confidence interval for population mean:
, where n= sample size,
= sample mean,
= population standard deviation,
= critical z value.
Given: n= 40 , 
Critical z-value for 90% confidence = 1.645
Then, required confidence interval:

Hence, a 90% Confidence Interval = (36.7, 39.3)
Answer:
It is - 5/3,not - 18..........