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Yuri [45]
3 years ago
15

Which of these is a complex number?

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0

Answer:

B.

Step-by-step explanation:

That would be B.

8/3 + √(-7/3) :-  because it consists of a real part ( the 8/3) and an imaginary part √(-7/3).

The √(-7/3) is usually written as √(7/3)i where i is √-1, so the complex number is 8/3 + √(7/3)i.

faltersainse [42]3 years ago
4 0

Answer:

b

Step-by-step explanation:

\frac{8}{3}+\sqrt{-\frac{7}{3}} =\frac{8}{3}+i\sqrt{\frac{7}{3}}

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What is the distance between the points (4,-2) and )-5,3)?
abruzzese [7]

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

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3 years ago
A pet store has three aquariums for fish. Aquarium A contains 24 fish, Aquarium B contains 51 fish, and Aquarium C contains 36 f
bazaltina [42]

The graph that can represent the data most accurately is (a) The y-axis of a bar graph starts at zero fish. One bar is 24 units, another bar is 51 units, and the third bar is 36 units

The given parameters are:

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  • Aquarium B: 51 fishes
  • Aquarium C: 36 fishes

The above dataset can be represented on a bar graph, where the lengths of the bars represent the number of fishes in each aquarium

Hence, the graph that can represent the data most accurately is (a)

Read more about graphs at:

brainly.com/question/25677468

5 0
3 years ago
What is the domain of the function y=tan(x/8)?
ehidna [41]

Answer:   well i think it is B

Step-by-step explanation:

3 0
3 years ago
A line is a collection of __________.
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A line is a collection of points in a linear direction that goes on infinitely in opposite directions.
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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
3 years ago
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