Answer:
Step-by-step explanation:
The concept of variance in random variable is applied in solving for the value of c for the estimator cW1 + (1 − c)W2 to be most efficient. Appropriate differentiation of the estimator with respect to c will give the value of c when the result is at minimum.
The detailed analysis and step by step approach is as shown in the attachment.
Answer:
Volume = 
2512 = 3.14 × r^2 × 8




Dont get confused try to understand : )
Answer:
(-7, -4)
Step-by-step explanation:
The midpoint formula is expressed as;
M (X,Y) = {(x1+x2/2), (y1+y2)/2}
Given that M(-4, -3) and (x1, x2) = (-1, -2)
X = x1+x2/2
-4 = -1+x2/2
-8 = -1 + x2
x2 = -8 + 1
x2 = -7
SImilarly;
Y = y1+y2/2
-3 = -2+y2/2
-3*2 = -2+y2
-6 = -2 + y2
y2 = -6 + 2
y2 = -4
Hence the coordinate of B is (-7, -4)
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)