How long is the arc intersected by a 2π/3 radian central angle in a circle with radius 7 feet?
2 answers:
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Answer:
The critical value for the 90% confidence interval is .
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
90% confidence level
So , z is the value of Z that has a p-value of
, so
.
The critical value for the 90% confidence interval is .
Answer:
29.7345 square units
Step-by-step explanation:
Area of the shaded part = Area of the rectangle - Area of the quarter circle
Area of the rectangle = Length × Width = 10 × 8 = 80 square units
Area of the quarter circle = × π × r² (r for radius) = 0.25 × π × 8² = 50.2655 square units (answer rounded up to four decimal places)
Area of the shaded part = 80 square units - 50.2655 square units = 29.7345 square units