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atroni [7]
3 years ago
8

What is the conjugate of -2 + 8i

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

-2 - 8i

Step-by-step explanation:

To find the conjugate of a complex number, change the sign of the imaginary part.

The conjugate of -2 + 8i is -2 - 8i.

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3 years ago
A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo
oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

n = 864, \pi = \frac{426}{864} = 0.493

Then, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0
2 years ago
HELP ME PLZ ASAP!!!!!!!!!!!
kondor19780726 [428]
(8q)/4 ..................
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3 years ago
Find the slope of a line that is perpendicular to the line containing the points [-2,-1] and [2,-3]. How did you find it?
xxMikexx [17]
A line perpendicular to another will have the opposite sign and be flipped

ex: slope is 4/5 the other lines slope will be -5/4

(-2,-1) (2,-3)

slope formula

y2-y1/x2-x1

-3-(-1)
____
2-(-2)

-3+1
___
2+2

-2
___
0

the slope of the perpendicular line is 0/-2 which is just 0
8 0
3 years ago
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