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MA_775_DIABLO [31]
2 years ago
12

Find x in the proportion x:6= 25:5​

Mathematics
1 answer:
Andrews [41]2 years ago
5 0

Step-by-step explanation:

\frac{x}{6}  =  \frac{25}{5}  \\

\frac{x}{6}  =  \frac{5}{1}  \\

x = 30

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Whats the answer for this problem 8x+y=-16 <br> -3x+y=-5
marissa [1.9K]
<span><span> {x,y} = {-7/4,-2}</span> 

Explanation:
</span>System of Linear Equations entered :
 [1] 8x+y=-16
 [2] -3+y=-5

Equations Simplified or Rearranged :<span><span> 
  [1] 8x + y = -16 </span><span> 
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3 years ago
What is the value of X?<br><br> 37 x X = 222
balandron [24]

Answer:

87

Step-by-step explanation:

sorry if im wrong

6 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
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