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storchak [24]
3 years ago
8

What does x equal in this equation? 2x^{2} -7x+9=0

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

Step-by-step explanation:                                    -b ± √(b² - 4ac)

Let's solve for x using the quadratic formula x = ------------------------

                                                                                          2a

In this case the coefficients are 2, -7 and 9, so the discriminant, b^2 - 4ac, is (-7)^2 - 4(2)(9), or 49 - 72 = -23.

The roots (zeros) of this quadratic are thus:

       -(-7) ± i√23

x = ----------------------

                 4

or

        7 ±i√23

x = -------------------

               4

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<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

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By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

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74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

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