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NISA [10]
3 years ago
14

M/np^2=k solve for n

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

The solution of the equation for n is n=\frac{m}{kp^{2}}

Step-by-step explanation:

* Lets explain how to solve an equation for one of its variables

- We need to solve the equation \frac{m}{np^{2}}=k for n

- To do that we must separate n in one side and all the other in the

  second side

- <u><em>Remember</em></u>: opposite of multiplication is division and opposite of

  division is multiplication

∵ \frac{m}{np^{2}}=k

∵ n is in the denominator

- We need to take n up then multiply both sides by n

∴ \frac{m}{p^{2}}=kn

- We need to take k to the other side then divide both sides by k

∴ \frac{m}{kp^{2}}=n

∴ n=\frac{m}{kp^{2}}

* The solution of the equation for n is n=\frac{m}{kp^{2}}

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A study conducted by Harvard Business School recorded the amount of time CEOs devoted to various activities during the workweek.
SIZIF [17.4K]

Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

   The average  number of meetings  hours per week is \mu=  18 \ hours

    The standard deviation is  \sigma  =  5.2 \ hours

     The sample size is  n=  35

     The sample average per week is  p  =  16.8 \ hours

From each solution statement we can deduce that the confidence level is  

    t =  95%

Thus the significance level is  \alpha  =  0.05= 5%

The z value for the significance level is gotten as 1.96 from the z-table

    The confidence level interval for the sample mean is mathematically evaluated as

            \= x  =  \mu \pm (1.96 *  \frac{\sigma }{\sqrt{n} } )

 Sustituting values

           \= x  = 18  \pm (1.96 *  \frac{5.2 }{\sqrt{35} } )

             \= x  = 18  \pm1.7

=>               18 - 1.7 < \= x  < 18 +1.7

                  16.3 < \= x  < 19.7

5 0
3 years ago
Two hundred minus the number two
Mama L [17]

Answer:

200-2 = 198

Step-by-step explanation:

If you have 200 apples and you eat two you have 198 apples

3 0
3 years ago
If it is 13:40 in Dublin, Ireland, what time is is it Rome, France ( 15 degrees East)​
nalin [4]

Answer:

The time in Rome OR France, would be 14:40

Step-by-step explanation:

Ireland is in GMT, while Rome, and France is in (GMT + 1), so it would be one hour ahead.

6 0
4 years ago
Simplify (x+4)(x^2-6x
lesya [120]

Answer:

The answer is x^3 - 2x^2 - 24x

Step-by-step explanation:

(x+4)(x^2-6x)

= (x+4)(x^2 + -6x)

= (x)(x^2) + (x)(-6x) + (4)(x^2) + (4)(-6x)

=x^3 - 6x^2 + 4x^2 - 24x

=x^3 - 2x^2 - 24x

4 0
3 years ago
Which of the following is the complete list of roots for the polynomial function f (x) = (x squared 6 x 8) (x squared 6 x 13)? –
Sunny_sXe [5.5K]

The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.

<h3>How to get the roots of the polynomial?</h3>

Here we have the polynomial function:

f(x) = (x^2 + 6x + 8)*(x^2 + 6x + 13)

So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.

For the first one, we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*8} }{2} \\\\x = \frac{-6 \pm 2}{2}

So the two solutions are:

x = (-6 - 2)/2 = -4

x = (-6 + 2)/2 = -2

For the second quadratic we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*13} }{2} \\\\x = \frac{-6 \pm 4i}{2}

So the two solutions are:

x = -3 + 2i

x = -3 - 2i

Finally, the list is:

{-4, -2, -3 + 2i, -3 - 2i}

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ4

8 0
3 years ago
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