Answer:
The coordinates of point B are (-3,2)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to

we have

substitute

Find the value of x_2
we have that


Find the value of y_2
we have that


therefore
The coordinates of point B are (-3,2)
Subtract the rental fee, then divide the left over amount by the cost per hour.
38-10 = 28
28 / 7 = 4
The answer is 4 hours.
The size of chicken at the form would be 111.8 inches.
Step-by-step explanation:
Given that,
The average height of cow = x1 = 4 feet 5 inches
x1 = 4 x 12 + 5 = 53 inches (12 inches in a feet)
The average height of chicken = y1 = 13 inches.
The height of cow statue at form = x2 = 38 feet
x2 = 38 x 12 = 456 inches
The height of chicken statue = y2 = ?
For this, the ratio of height in both the scenarios would be the same. Therefore,
x1/y1 = x2/y2
now, by putting the values
53/13 = 456/y2
y2 = (456x 13) / 53
y2 = 111.8 inches
Hence, the size of chicken at the form would be 111.8 inches.
Answer:
σˆ =
sPn
i=1 X2
i
2n
Step-by-step explanation:
To obtain, the maximum likelihood ratio, we use the following method.
l(σ) = Xn
i=1 "
− log 2 − log σ −
|Xi
|
σ
#
Let the derivative with respect to θ be zero:
l
0
(σ) = Xn
i=1 "
−
1
σ
+
|Xi
|
σ
2
#
= −
n
σ
+
Pn
i=1 |Xi
|
σ
2
= 0
and this gives us the MLE for σ as
σˆ =
Pn
i=1 |Xi
|
n
Again this is different from the method of moment estimation which is
σˆ =
sPn
i=1 X2
i
2n
As our answer