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PIT_PIT [208]
3 years ago
10

(219,379.01 - x) / x = .3321

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

Answer:x = 164686.592598

Step-by-step explanation:

219379.01−x/x = 0.3321

−x+219379.01/x = 0.3321

Step 1: Multiply both sides by x.

−x+219379.01≈0.3321x

−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)

−1.3321x + 219379.01 = 0

−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)

−1.3321x = −219379.01

−1.3321x/−1.3321 = −219379.01/−1.3321

(Divide both sides by -1.3321)

x = 164686.592598

Nadya [2.5K]3 years ago
6 0

Answer:

  164,686.59

Step-by-step explanation:

Carry out the division, then solve for x.

  (219,379.01 - x) / x = .3321 . . . . . given

  219,379.01/x -1 = 0.3321

  219,379.01/x = 1.3321 . . . . add 1

  219,379.01/1.3321 = x ≈ 164,686.59 . . . . multiply by x/1.3321

Rounded to 8 significant digits, the value of x is 164,686.59.

_____

The fractional portion is 7894/13321, which has a very long repeating decimal equivalent.

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A major television manufacturer has determined that its 44 inch screens have a mean service life that can be modeled by a normal
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P(5

And we can find this probability with thie difference:

P(-2

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-2

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(6,0.5)  

Where \mu=6 and \sigma=0.5

We are interested on this probability

P(5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(5

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5 0
3 years ago
6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número
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Answer:

6. Miles  {}     cientos       decenas      unidades

  4   {}              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  {}     cientos       decenas      unidades

4   {}              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

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Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

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0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

8 0
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