Answer:

Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:

#The margin of error, ME can be calculated for the confidence intervals using the formula:

#The number of individuals in the sample is the product of the point estimate and population size:

Hence, there are 645 individuals in the sample.
A = area of the circle
A = pi*r^2
A = pi*11^2
A = 121pi
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B = area of the rectangle
B = length*width
B = 6*4
B = 24
-----
C = blue shaded area
C = A - B
C = 121pi - 24 which is the exact area in terms of pi
C = 356.1327 is what you'd get if you used a calculator
C = 356.13 is the result after rounding to the nearest hundredth
<h3>The final answer is 356.13</h3>
9514 1404 393
Answer:
(a) no
(b) no
Step-by-step explanation:
The two questions are asking essentially the same thing. There is nothing that indicates DC ≅ DB or that AC ≅ AB. One (both) of these conditions is (are) required for ΔBAC to be isosceles, so that AD is both a perpendicular bisector of BC and a bisector of angle BAC.
There is not enough information to answer either question affirmatively.
Answer:
8x -16y = 24
Step-by-step explanation:
8x - 16y= -14
A parallel line (i.e. same slope) will be: 8x - 16y= c
We have to find the value of "c".
If it passes through (x, y) = (3, 0) ⇒ 24 - 0 = c,
so equation is 8x -16y = 24
Answer:
ΔABX and ΔEDX
Step-by-step explanation:
Given: AX ≅ EX
BX ≅ DX
SAS implies a congruent relation with respect to Side-Angle-Side between the two required triangle.
AX ≅ EX (given)
BX ≅ DX (given)
<BXA ≅ <DXE (vertical opposite angles)
Therefore,
ΔABX ≅ ΔEDX (Side-Angle-Side, SAS, congruence property)