Which complex number is represented by the point graphed on the complex plane below

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

Answer:

Option (c)

Step-by-step explanation:

A complex number is a combination of a real number and an imaginary number.

Real number be represented on X axis and imaginary number be represented on Y axis.

Here real part of the complex number is 3 and the imaginary part is -4.

So, the complex number is 3 - 4i.

slavikrds [6]3 years ago

6 0

See this explanation:

for the given point x=3 and y=-4.

It means, z=3-4i. Answer; C.

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What is the solution to this system of linear equations?<br> 3x - 2y = 14<br> 5x + y = 32

ratelena [41]

Answer:

x=6 and y=2

Step-by-step explanation:

3x-2y=14 _1st equation

5x+y=32 _2nd equation

Multiplying 2nd equation by two and adding both equation

3x-2y=14

10x+2y=64

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13x=78

x=78÷13

x=6

Putting the value of x in 1st equation

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4 0

3 years ago

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assume the age of night school students is normally distributed. A simple random sample of 24 night school students had an avera

aleksley [76]

Let
n = number of data
s = standard deviation (sample)
S = standard deviation (population)

The working equations is

$\frac{(n-1) s^{2} }{ x^{2}_{right} } \ \textless \ S^{2} \ \textless \ \frac{(n-1) s^{2} }{ x^{2}_{left} }$

To find $x^{2}_{right}$ , : (1 - 0.90)/2 = 0.05

To find $x^{2}_{left}$ , : 1 - 0.05 = 0.95

Degrees of freedom = n-1 = 24 - 1 = 23

This is shown in the figure attached. Since there is no row for df=23, we interpolate. Thus,

$x^{2}_{left} = 13.093$

$x^{2}_{right} = 35.17$

Substitute all values,

$\frac{(24-1) 5.6^{2} }{ 35.17} \ \textless \ S^{2} \ \textless \ \frac{(24-1) 5.6^{2} }{ 13.093} }$

Thus the answer is,

$20.51\ \textless \ S^{2} \ \textless \ 55.09$