Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Answer:
3
Step-by-step explanation:
True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.
This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
Answer:
Composite Area = 1105.94
Step-by-step explanation:
Remark
The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.
Width
2*radius = width
width = 2 * 11
width = 22
Area of the circle
Area = pi * r^2
r = 11
Area = 3.14 * 11^2
Area = 3.14 * 121
Area = 379.94
Area of the rectangle
Area = L * W
L = 33
W = 22
Area = 33 * 22
Area = 726
Total Area
Total Area = Area of Rectangle + Area of the Circle
Total Area = 726 + 379.94 = 1105.94
