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kumpel [21]
2 years ago
9

Amie works part-time at McDonalds. Each week, her work schedule changes. The number of hours she works each week is shown in the

list below. 8, 12, 12, 25, 10, 14, 4, 3, 22, 10 What is the mean absolute deviation of the hours she works each week?
Mathematics
1 answer:
kenny6666 [7]2 years ago
7 0

Answer:

Mean Deviation = 5

Step-by-step explanation:

The numbers are given as;

8, 12, 12, 25, 10, 14, 4, 3, 22, 10

Mean = Sum of numbers / Population = 120 / 10

Mean = 12

mean deviation involves finding the sum of the absolute values of the differences between the individual elements and the mean. Then divding by the population.

Mean Deviation = |(8 - 12) + (12 - 12) + ( 12  - 12) + (25- 12) + (10- 12) + 14- 12) + (4- 12) + (3 - 12) + (22- 12) + (10- 12)

| / 10

Mean Absolute Deviation = 5

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Determine the commutators of the operators a and a+,where a = (x + ip)/2 ^1/2 and a+ = (x - ip)/ 2 ^1/2
Vsevolod [243]

Answer:

Given that:

a = (\frac{x+ip}{2})^{\frac{1}{2}} and a+= (\frac{x-ip}{2})^{\frac{1}{2}}

if a , a+ commutator, it obeys aa^+ = a^+a

First find:

aa^+ = (\frac{x+ip}{2})^{\frac{1}{2}} (\frac{x-ip}{2})^{\frac{1}{2}}

                = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}

Now;

a^+a =(\frac{x-ip}{2})^{\frac{1}{2}} (\frac{x+ip}{2})^{\frac{1}{2}} = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}

              =(\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}

therefore, aa^+ = a^+a which implies the operators a and a+ are commutators.    


7 0
3 years ago
What are the vertices of A'B'C produced by T (A'B'C)=ABC?
Valentin [98]
They are up and down and left and right
5 0
3 years ago
The vertices of APQR are P(-3, 8) Q(-6,-4), and R(1, 1). If you reflect APQR across the x-axis, what will be the coordinates of
Ymorist [56]

Answer:(-3,-8),(-6,4),(1,-1)

Step-by-step explanation:

Given

Vertices of the triangle are

P(-3,8), Q(-6,-4),R(1,1)

Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign

\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)

4 0
3 years ago
What is the base of a triangle with a height of 7.4 cm and an area of 48.1 cm2?
vitfil [10]

Answer:

13cm

Step-by-step explanation:

5 0
3 years ago
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Find the inverse of the matrix , if it exists
Montano1993 [528]

Answer:

So, option A is correct.

Step-by-step explanation:

To find the inverse of the matrix, the formula is:

A^{-1} = 1/|A| * Adj A

Inverse of the matrix exists if |A| does not equal to 0

|A| = 7 * 9 -( -2 * -10)

|A| = 63 - 20

|A| = 43

AS |A| ≠ 0

so inverse exist.

now finding Adj A

Adj A = \left[\begin{array}{cc}9&2\\10&7\end{array}\right]

\left[\begin{array}{cc}9/43&2/43\\10/43&7/43\end{array}\right]

So, option A is correct.

8 0
3 years ago
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