Answer:
[tex]M.A.D = 1[/tex]
Step-by-step explanation:
Given
9, 7, 6, 8, 7, 5
Required
Mean Absolute Deviation
The first step is to calculate the mean of the given data;
[tex]Mean = \frac{\sum{x}}{n}[/tex]
where x = 9, 7, 6, 8, 7, 5 and n = 6
[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]
[tex]Mean = \frac{42}{6}[/tex]
[tex]Mean = 7[/tex]
Subtract mean (7) from each data
[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]
Return the absolute values of each
[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]
Calculate mean of the above absolute values
[tex]Mean = \frac{\sum{x}}{n}[/tex]
[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]
[tex]Mean = \frac{6}{6}[/tex]
[tex]Mean = 1[/tex]
Hence, the mean absolute deviation of the given data is 1
If the volume of the planter is 2,560 cubic inches,how tall is the planter
Answer:
Height of Planter = H = 20 in²
Step-by-step explanation:
As the planter is not given in the question, the question is incomplete.
First, lets complete the question by attaching the diagram related to this question.
(SEE THE ATTACHMENT)
Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.
The right angled triangle has a width of 16 inches and a heights of 16 inches as well.
We know that the Area of a triangle can be calculated by following formula:
[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]
Substitute the values to find Area:
[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]
We also know that the Volume of a triangular prism is given by:
[tex]Volume=(Area)\cdot(Height)[/tex]
Where
Area = Area of the face = 128 in²
Height = Height of the planter = H
Volume = 2560 in³
Substitute the values and solve for H:
[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]
URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state B, how many counties does each state have?
What is the area of the garden in Plan A? (Type the numeric answer only
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
does 4 1/2 times 2 3/4 equal 11 11/48?
4 1/2 times 2 3/4 does not equals to 11 11/48.
It actually equals to 12 3/8
hope it helps
Good luck on your assignment
Answer:
No,it's wrongThe correct answer is
[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]
Step-by-step explanation:
[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which statement about the figures shown below is true?
PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
Answer:
The unknown number is 1.
Step-by-step explanation:
You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :
[tex]x \times 5[/tex]
[tex] = 5x[/tex]
Secondly, 5 is added to product and you will get 10 :
[tex]5x + 5 = 10[/tex]
Lastly, you have to solve :
[tex]5x + 5 = 10[/tex]
[tex]5x = 10 - 5[/tex]
[tex]5x = 5[/tex]
[tex]x = 5 \div 5[/tex]
[tex]x = 1[/tex]
Answer:
2
Step-by-step explanation:
if you divide
10 by 5
you get two
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
Identify the solution to the system of linear equations
Y=-x-2
Y=x-6
Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
What is the rate of change in the table?
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation: