You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the t
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Answer: Cylinder uses less material to make.
Box holds more soup then cylinder.
Step-by-step explanation:
Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height
Total surface area of cylinder = where r= radius and h is height.
Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm
Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.
Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm
= 2(1209.65)
=2419.3 sq. cm
Total surface area of cylinder =
<em>[π=3.14]</em>
(Total surface area of cylinder)<(Total surface area of box )
So, cylinder uses less material to make.
Volume of box = l x w x h
= (7.5)(4.7)(14.5) = 511.13 cubic cm
Volume of cylinder =
= 341.946 cubic cm
As (Volume of box) > (Volume of cylinder )
So, Box holds more soup then cylinder.
SP is the sum of the product of deviations of x and y and is given by
Given the table below
x: 1 2 9
y: 4 4 1
The mean of x is given by (1 + 2 + 9) / 3 = 12 / 3 = 4
The mean of y is given by (4 + 4 + 1) / 3 = 9 / 3 = 3.
We find the SP using the table below.
![\begin{center} \begin{tabular} {|c|c|c|c|c|} x & y & $x-\bar{x}$ & $y-\bar{y}$ & ($x-\bar{x}$)($y-\bar{y}$)\\ [1ex] 1 & 4 & $1-4=-3$ & $4-3=1$ & $-3\times1=-3\\ 2 & 4 & $2-4=-2$ & $4-3=1$ & $-2\times1=-2$\\ 9 & 1 & $9-4=5$ & $1-3=-2$ & $5\times-2=-10\\[1ex] & & & & \Sigma (x-\bar{x})(y-\bar{y})=-15 \end{tabular} \end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0Ax%20%26%20y%20%26%20%24x-%5Cbar%7Bx%7D%24%20%26%20%24y-%5Cbar%7By%7D%24%20%26%20%28%24x-%5Cbar%7Bx%7D%24%29%28%24y-%5Cbar%7By%7D%24%29%5C%5C%20%5B1ex%5D%0A1%20%26%204%20%26%20%241-4%3D-3%24%20%26%20%244-3%3D1%24%20%26%20%24-3%5Ctimes1%3D-3%5C%5C%0A2%20%26%204%20%26%20%242-4%3D-2%24%20%26%20%244-3%3D1%24%20%26%20%24-2%5Ctimes1%3D-2%24%5C%5C%0A9%20%26%201%20%26%20%249-4%3D5%24%20%26%20%241-3%3D-2%24%20%26%20%245%5Ctimes-2%3D-10%5C%5C%5B1ex%5D%0A%20%26%20%26%20%26%20%26%20%5CSigma%20%28x-%5Cbar%7Bx%7D%29%28y-%5Cbar%7By%7D%29%3D-15%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D)
Therefore, <span>the value of SP for the given set of data is -15.</span>
Given the table below
x: 1 2 9
y: 4 4 1
The mean of x is given by (1 + 2 + 9) / 3 = 12 / 3 = 4
The mean of y is given by (4 + 4 + 1) / 3 = 9 / 3 = 3.
We find the SP using the table below.
Therefore, <span>the value of SP for the given set of data is -15.</span>