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svlad2 [7]
2 years ago
14

У

Mathematics
1 answer:
o-na [289]2 years ago
8 0
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Is 54 a rational number ?
Tatiana [17]

Hi

Yes 54 is a rational number because it can expressed as the quotient of two integers : 51 divide by 1


I hope that's help :)



7 0
3 years ago
If y = kx, where k is a constant,<br> and y = 30 when x = 6, what is<br> the value of y when x = 3?
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11

7 0
2 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
2 years ago
What is the answer for this? 72+10d&gt;/= to 9:/
Wewaii [24]

it is 8 or  10. multiply the 10d by 11 0r 12. 13 or 14



8 0
3 years ago
Through (2,-4), parallel to y=3x+2
Tanya [424]

Answer:

y=3x-2

Step-by-step explanation:

parallel is with the same slope

so plug in y and x into y-Y=m(x-X)

so it be y-(-4)=3(x-2)

y+4=3x-6

subtract 4 from both sides

y=3x-2

8 0
3 years ago
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