Answer: 106.5
Step-by-step explanation:
We know that, Confidence interval for population mean is given by :-
( Sample mean - Margin of error , Sample mean + Margin of error)
Given: confidence interval is (92.3, 120.7).
i.e. Sample mean - Margin of error = 92.3 (i)
Sample mean + Margin of error = 120.7 (ii)
Adding (i) and (ii) , we get
2( Sample mean ) = 213
⇒ Sample mean = 106.5
Hence, the sample mean = 106.5
Answer:
Area of circle = 113.04 square feet
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that radius of the circle (r) = 6 feet
Area of circle
A = π r²
A = π (6)²
A = 36 π
A = 36 × 3.14
A = 113.04 square feet
Answer:
92.11 cm³
Step-by-step explanation:
The figure below;
- Has two hemispheres, and
- An open cylinder
- The radius of the hemisphere is 2 mm
- The height of the cylinder is 6 mm (10 mm - 4 mm)
We are required to determine the volume of the figure;
The volume of a hemisphere is given by;
Volume hemisphere = 2/3πr³
Taking π to be 3.14
The Volume of the two hemisphere;
= 2/3 × 3.14 × 2³
= 16.75 cm³
Volume of the cylinder;
Volume = πr²h
= 3.14 × 2² × 6
= 75.36 cm³
Thus, volume of the figure;
= 16.75 cm³ + 75.36 cm³
= 92.11 cm³
Hence, the volume of the figure is 92.11 cm³