Answer:
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
The probability that the sample mean will lie within 2 values of μ is 0.9544.
Step-by-step explanation:
Here
The probability that the sample mean lies with 2 of the value of μ is given as
Here converting the values in z form gives
Substituting values
From z table
So the probability that the sample mean will lie within 2 values of μ is 0.9544.
Answer:
(a) 0.0128 to 4 decimal places
(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places
Step-by-step explanation:
See the attached documents and graphs. Cheers!
