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____ [38]
3 years ago
12

According to the Bureau of Labor and Statistics in 2014, the average salary of all female workers is $37,596. The average salary

of all male workers is $45,500.What must be true about the average salary of all workers?
Mathematics
1 answer:
Llana [10]3 years ago
3 0

Answer:

The average salary of all workers could be any number between $37,596 and $45,500.

Step-by-step explanation:

It is given that according to the Bureau of Labor and Statistics in 2014,

Average salary of all female workers = $37,596

Average salary of all male workers = $45,500

In given problem the options are missing.

Here, the number of male and female are not given, so we can not find an exact average salary of all workers. But the average salary of all workers must be lies between the average salary of male and female.

Therefore. the average salary of all workers could be any number between $37,596 and $45,500.

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie
melamori03 [73]

Answer:

The complete solution is

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Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

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Differentiating with respect to x

y'= me^{mx}

Again differentiating with respect to x

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Putting the value of y, y' and y'' in left side of the differential equation

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\Rightarrow 3m^2-8m-3=0

The auxiliary equation is

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\Rightarrow (3m+1)(m-3)=0

\Rightarrow m = 3, -\frac13

The complementary function is

y= Ae^{3x}+Be^{-\frac13 x}

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)    

For particular integral

y_p=\frac 1{(3D+1)(D-3)} .4

    =4.\frac 1{(3D+1)(D-3)} .e^{0.x}    [since e^{0.x}=1]

   =4\frac{1}{(3.0+1)(0-3)}      [ replace D by 0 , since L(0)≠0]

   =-\frac43

The complete solution is

y= C.F+P.I

\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43

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