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3 years ago

Dividing complex numbers

Mathematics

1 answer:

Neporo4naja [7]3 years ago

3 0

Answer:

DIVIDING COMPLEX NUMBERS

Dividing complex numbers is a little more complicated than addition, subtraction, and multiplication of complex numbers because it is difficult to divide a number by an imaginary number. For dividing complex numbers, we need to find a term by which we can multiply the numerator and the denominator that will eliminate the imaginary part of the denominator so that we end up with a real number in the DENOMINATOR

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yan [13]

Q. 3

$b \geqslant 2 \\$

b∈(2,∞)

Q. 4

$r < - 5$

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2 years ago

How many real solutions if any, does 2x^2-3x+8=0

fenix001 [56]

Answer:

The quadratic equation $2\, x^{2} - 3\, x + 8 = 0$ has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation $2\, x^{2} - 3\, x + 8 = 0$ in the standard form $a\, x^{2} + b\, x + c = 0$ :

$2\, x^{2} + (-3)\, x + 8 = 0$ , for which:

$a = 2$ .
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The quadratic discriminant of $a\, x^{2} + b\, x + c = 0$ is $(b^{2} - 4\, a\, c)$ . The quadratic discriminant of $2\, x^{2} + (-3)\, x + 8 = 0$ would be:

$\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}$ .

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

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2 years ago

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4 years ago

Read 2 more answers

Three years ago, the mean price of an existing single-family home was $243 comma 772. A real estate broker believes that exis

jarptica [38.1K]

Answer:

(a)

$\mathbf{H_0: p=\$243,772\\H_1: p$

(b) The broker rejects the hypothesis that the mean price is $243,772, when it is the true mean cost.

(c) The broker fails to reject the hypothesis that the mean price is $243,772, when the true mean price is less than $243,772.

Step-by-step explanation:

(a) The null and alternative hypotheses are:

$H_0: p=\$243,772\\H_1: p$

(b) The type I error says that reject the $H_0$ when it is true.

Thus, type I error is: The broker rejects the null hypothesis that the mean price of home is $243,772, when it is the true mean cost.

(c) The type II error says that accept the $H_0$ when it is false.

Thus, type II error is: The broker fails to reject the null hypothesis that the mean price of single-single home is $243,772, when the true mean price is less than $243,772.

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3 years ago

In November 2005, an international study to assess public opinion on the treatment of suspected terrorists was conducted (“Most

navik [9.2K]

Based on the responses, the significance level, and the p-value, we can conclude that the response proportions are not the same for the countries.

<h3>What can be concluded about the response proportions for these countries?</h3>

The null hypothesis is that the response proportions are the same. The alternate hypothesis is that the response proportions are not the same.

The sample size is large enough for a Chi-Square test to be used because the expected counts are all greater than 5.

Running a Chi-Square analysis shows that the P-value to be 0.000.

The P-Value is less than the significance level of 0.01 so the null hypothesis is rejected. This means that the alternate hypothesis of the response proportions not being the same is true.

Find out more on chi-square tests at brainly.com/question/4543358.

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2 years ago