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Vladimir79 [104]
3 years ago
5

Solve −2x2 +3x − 9 = 0. (2 points)

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

Option A) x equals quantity of 3 plus or minus 3i square root of 7 all over 4.

Step-by-step explanation:

We are given the quadratic equation:

-2x^2 +3x - 9 = 0

To find the solution to this quadratic equation, we use the quadratic formula:

ax^2 + bx + c = 0\\\\x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{where a is the coefficient of } x^2\text{, b is the coefficient of x and c is the constnt term of the eqution.}

Putting the value of a, b and c in the quadratic formula:

a = -2\\b = 3\\c = -9\\\\x = \displaystyle\frac{-3 \pm \sqrt{3^2 - 4(-2)(-9)}}{2(-2)}\\\\x = \frac{-3 \pm \sqrt{-63} }{-4}\\\\x = \frac{-3 \pm 3i\sqrt7}{-4}\\\\x = \frac{3 \mp3i\sqrt7}{4}

Hence, the correct option is option A) x equals quantity of 3 plus or minus 3i square root of 7 all over 4.

nadya68 [22]3 years ago
3 0

Answer:

Option A

Step-by-step explanation:

We have to find the solution of -2x^{2}+3x-9=0

By quadratic formula

x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

=\frac{-3\pm \sqrt{(3)^{2}-4(-2)(-9)}}{2(-2)}

=\frac{-3\pm \sqrt{9-72}}{-4}

=\frac{3\mp \sqrt{-63}}{4}

\frac{3\mp 3\sqrt{-7}}{4}=[\frac{3\mp 3i\sqrt{7}}{4}]

Option A is the answer.

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Conner and Jana are multiplying (3568)(39610).
NARA [144]

Step-by-step explanation :

Dado que Conner y Jana se multiplican (3568)(39610). El trabajo de Conner El trabajo de Jana (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 ¿Es correcto cualquiera de ellos?

Jana y Conner están multiplicando dos números dados. Así que la pregunta es

                                 3568 x 39610

                                  0000

                                3568x

                            21408xx

                          32112xxx

                        10704xxxx

                --------------------------------------

                           141328480

Así que la respuesta correcta es 141328480.

También los números se pueden agrupar como

      3568 = 3000 + 500 + 60 + 8

    39610 = 30000 + 9000 + 600 + 10

Después de agrupar multiplicando ambos términos obtenemos la respuesta requerida.

Así que ninguno de los dos tiene la respuesta correcta.

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3 years ago
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One measure of an athlete’s ability is the height of his or her vertical leap. Many professional basketball players are known fo
almond37 [142]

Answer:

(1) P(\bar X < 26 inches) = 0.0436

(2) P(27.5 inches < \bar X < 28.5 inches) = 0.2812

Step-by-step explanation:

We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.

Firstly, Let \bar X = mean vertical leap for the 36 players

Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;

            Z = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean vertical  leap = 28 inches

            \sigma = standard deviation = 7 inches

            n = sample of NBA player = 36

(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P(\bar X < 26 inches)

   P(\bar X < 26) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{26-28}{\frac{7}{\sqrt{36} } } ) = P(Z < -1.71) = 1 - P(Z \leq 1.71)

                                                 = 1 - 0.95637 = 0.0436

(2) <em>Now, here sample of NBA players is 26 so n = 26.</em>

Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < \bar X < 28.5 inches) = P(\bar X < 28.5 inches) - P(\bar X \leq 27.5 inches)

    P(\bar X < 28.5) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{28.5-28}{\frac{7}{\sqrt{26} } } ) = P(Z < 0.36) = 0.64058 {using z table}                      

    P(\bar X \leq 27.5) = P( \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{27.5-28}{\frac{7}{\sqrt{26} } } ) = P(Z \leq -0.36) = 1 - P(Z < 0.36)

                                                        = 1 - 0.64058 = 0.35942

Therefore, P(27.5 inches < \bar X < 28.5 inches) = 0.64058 - 0.35942 = 0.2812

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Step-by-step explanation:

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