ANSWER
The mean absolute deviation is 1.75
EXPLANATION
The given date set is 2, 2, 5, 6, 8, 4, 8, 5
The mean is
![\bar X = \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8} = 5](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%20%20%5Cfrac%7B2%20%2B%202%20%2B%205%20%2B%206%20%2B%208%20%2B%204%20%2B%208%20%2B%206%7D%7B8%7D%20%20%3D%205)
The mean absolute value deviation is given by:
![=\frac{ \sum |x -\bar X| }{n}](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B%20%5Csum%20%7Cx%20-%5Cbar%20X%7C%20%7D%7Bn%7D%20)
![= \frac{ | 2 - 5| + |2 - 5|+ |5- 5|+ |6 - 5|+ |8 - 5| + |4 - 5|+ |8- 5|+ |5 - 5| }{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20%7C%202%20-%205%7C%20%20%2B%20%20%7C2%20-%205%7C%2B%20%20%7C5-%205%7C%2B%20%20%7C6%20-%205%7C%2B%20%20%7C8%20-%205%7C%20%2B%20%20%7C4%20-%205%7C%2B%20%20%7C8-%205%7C%2B%20%20%7C5%20-%205%7C%20%7D%7B8%7D%20)
![= \frac{ 3 + 3+ 0+ 1+ 3 + 1+3+ 0}{8}](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B%203%20%20%2B%20%203%2B%200%2B%20%201%2B%20%203%20%2B%201%2B3%2B%20%200%7D%7B8%7D%20)
![= \frac{14}{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B14%7D%7B8%7D%20)
![= 1.75](https://tex.z-dn.net/?f=%20%3D%201.75)
The coordinates are (-4,0),(0,-1)
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(12*x^2-9*x+4)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> y - (((22•3x2) - 9x) + 4) = 0
</span><span>Step 2 :</span><span>Equation at the end of step 2 :</span><span> y - 12x2 + 9x - 4 = 0
</span><span>Step 3 :</span>Solving a Single Variable Equation :
<span> 3.1 </span> Solve <span> <span>y-12x2+9x-4</span> </span> = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = ![\frac{216}{12} = 18 ft](https://tex.z-dn.net/?f=%20%5Cfrac%7B216%7D%7B12%7D%20%3D%2018%20ft%20)
360 inches = ![\frac{360}{12} = 30 ft](https://tex.z-dn.net/?f=%20%5Cfrac%7B360%7D%7B12%7D%20%3D%2030%20ft%20)
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: ![\frac{540}{2.5} = 216 people](https://tex.z-dn.net/?f=%20%5Cfrac%7B540%7D%7B2.5%7D%20%3D%20216%20people%20)