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stepladder [879]
3 years ago
13

Solve for y: x(y-3)=2y+1

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer: y=(3x+1)/(x-2)

Step-by-step explanation: Step by step with principles included in the image.

lana [24]3 years ago
6 0

Answer:

y =  \frac{3x + 1}{x - 2}

Step-by-step explanation:

Add -2y to both sides:

xy−3x+<u>−2y</u>=2y+1+<u>−2y</u>

Simplify:

xy−3x−2y=1

Add 3x to both sides:

xy−3x−2y+<u>3x</u>=1+<u>3x</u>

Simplify:

xy−2y=3x+1

Factor out variable y:

y(x−2)=3x+1

Divide both sides by x-2:

\frac{y(x - 2)}{x - 2}  =  \frac{3x + 1}{x - 2}

Simplify:

y =  \frac{3x + 1}{x - 2}

Hope this helps :)

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ASK YOUR TEACHER An article reported that for a sample of 42 kitchens with gas cooking appliances monitored during a one-week pe
xxMikexx [17]

Answer:

654.16-2.02\frac{165.23}{\sqrt{42}}=602.66    

654.16+2.02\frac{165.23}{\sqrt{42}}=705.66    

So on this case the 95% confidence interval would be given by (602.66;705.66)

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=654.16 represent the sample mean

\mu population mean (variable of interest)

s=165.23 represent the sample standard deviation

n=42 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=42-1=41

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that t_{\alpha/2}=2.02

Now we have everything in order to replace into formula (1):

654.16-2.02\frac{165.23}{\sqrt{42}}=602.66    

654.16+2.02\frac{165.23}{\sqrt{42}}=705.66    

So on this case the 95% confidence interval would be given by (602.66;705.66)    

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3 years ago
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Answer:You are correct but you do not need to round it, the inches of ribbon is short by 0.75 inches. Hope this helps you, have great day!

Step-by-step explanation:

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Step-by-step explanation:

Simplify

5×−4+9

Simplify

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Answer

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