To find the value of a variance add and subtract the variance from the original number.
The original number is 32 hot dogs.
The variance is 5 hot dogs.
32-5 = 27
32 + 5 = 37
This means he needs to eat between 27 and 37 hot dogs.
he inequality with variance is written as: 27 < h < 37
Use the polynomial remainder theorem. It says that a polynomial
has remainder
upon division by
.
Here we have

and
, so the remainder is

Answer:

Step-by-step explanation:
Volume of cone = 
Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius
=
=
Surface area of cone including 1 base = 
Since r = h
So, area = 
=
= 
Ratio of volume of cone to its surface area including base :



Rationalizing


Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is 
Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.