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3 years ago

9

A pair of complex numbers who have the same real and imaginary parts, but the imaginary parts have opposite signs. Their product

s are a nonzero real number

1 answer:

mixas84 [53]3 years ago

7 0

Answer:

conjugate pair

Step-by-step explanation:

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A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor

kotegsom [21]

Answer:

$n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36$

So the answer for this case would be n=36 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =6.995$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =1.939 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

If we replace we have this:

$n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36$

So the answer for this case would be n=36 rounded up to the nearest integer

4 0

4 years ago

What is a standard deviation in statistics?

torisob [31]

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

6 0

3 years ago

Joe brought 17 packs of cola to a party, and each pack had 8 cans. Teresa brought 6 cans of juice. How many cans did they bring

KATRIN_1 [288]

Answer:

Hello!!

If Joe brought 17 packs of cola to a party, and each pack had 8 cans. Teresa brought 6 cans of juice. They brought 142 cans in all.

Step-by-step explanation:

$17$ × $8=136$

$136+6=142$

Hope this helps!!

6 0

3 years ago

Read 2 more answers

2x + 8 = -4 solve for c<br> Show work please

andrew-mc [135]

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago

Find the volume of the cylinder

klasskru [66]

Answer:

7 x 7 x 17 =833

Step-by-step explanation:

833in^3

3 0

3 years ago