What are the roots of the equation x² 14x + 53 = 0 in simplest a + bi form?

Solve -2(5x – 3) = 41. -2a + 22 = 22 8a + 22 = 22 -2a + 2 = 22 8a + 2 = 22

inna [77]

Answer:

I would recommend...

Step-by-step explanation:

try using a website called WolframAlfa. its easy to use just plug in the equation and It will give you a step-by-step.

:) hope this helps lol

4 0

3 years ago

Plz help.......................

slamgirl [31]

The second graph, B is the answer

8 0

4 years ago

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.

pav-90 [236]

Answer:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

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)

$\sigma=2.25$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ The margin of error is given by this formula:

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

And on this case we have that ME =0.35 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)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

3 0

3 years ago

Do the ratios 15 20 and 3 4 form a proportion?

aliya0001 [1]

Answer:

Test the two ratios/fractions to see whether they are equivalent by multiplying diagonally (cross multiply). 3 4 = 15 20 4 * 15 = 60 and 3 * 20 = 60.

This is a proportion. If the two numbers that are diagonal result in the same answer when they are multiplied, you are working with a proportion.

Step-by-step explanation:

<h2>#BEBRAINLY </h2>

8 0

3 years ago

Find the zeros in p(p+2)=0

VMariaS [17]

Answer:

$Zeros\ are\ p=0\ and\ p=-2$

Step-by-step explanation:

$Given\ p(p+2)=0\\\\If\ the\ product\ of\ two\ numbers\ is\ zero.\ one\ of\ the\ number\ must\ be\ zero\ ab=0\Rightarrowa=0\ or\ b=0\\\\p(p+2)=0\\\\p=0\ or\ (p+2)=0\\\\p=0\\\\when\ (p+2)=0\\\\\Rightarrow\ p=-2\\\\Zeros\ are\ p=0\ and\ p=-2$

4 0

3 years ago