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aniked [119]
3 years ago
6

How many solutions does : 3y = -6x + 9 y = -6x + 9

Mathematics
2 answers:
balandron [24]3 years ago
5 0

Answer:

It has three solutions.

Step-by-step explanation:

  1. Elimination method
  2. Substitution method
  3. Graphical method

Here are the ones which i know.

stepladder [879]3 years ago
3 0

Answer:

Exactly 1 solution

Step-by-step explanation:

First we must disrupte3y+27=12y+13

Next we switch one number to the other side27=9y+13

Now we must switch the other number14=9y

Now we must solve by dividing 14 by 9y=1.555

This is one solution, so we now have our answer.

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For the equation 8x + 2y = 16 What is the slope? What is the y-intercept (write as an ordered pair)? What is the x-intercept (wr
GREYUIT [131]

Answer:

Step-by-step explanation:

8x+2y=16

2y=-8x+16

y=-4x+8

slope is -4

y-intercept is (0,8)

x-intercept is (2,0)

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A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis
VMariaS [17]

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

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=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

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: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

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

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

8 0
3 years ago
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