Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is
1 answer:
You might be interested in
Answer:
The most correct option is;
(B) 958.2 ft.²
Step-by-step explanation:
From the question, the dimension of each square = 3 ft.²
Therefore, the length of the sides of the square = √3 ft.
Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;
The dimension of the diameter of the small semicircle = 10·√3
Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3
Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²
Similarly;
The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3
∴ The dimension of the diameter of the large semicircle = 22·√3
Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3
Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²
Area of rectangle = 11·√3 × 17·√3 = 561
Area, A of large semicircle cutting into the rectangle is found as follows;
Where:
Hence;
Therefore; t
The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²
Therefor, the most correct option is (B) 958.2 ft.².
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
This means that the correct answer is given by option c.