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vlada-n [284]
3 years ago
14

40 POINTS, please help

Mathematics
1 answer:
Elis [28]3 years ago
8 0

First, we must understand what standard form of a line is. Standard form of a line is written like  such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates. 

 

<span>As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator.  <span>  </span></span>

 

The next step is to utilize point-slope form, which is  where  is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step. 

 

<span>Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.<span>This is standard form now, so we are done!</span></span>
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The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in
Stolb23 [73]

Answer:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

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=34.5 represent the sample mean

\mu population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 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=300-1=299

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,199)".And we see that t_{\alpha/2}=1.653

And the margin of error is given by:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

4 0
3 years ago
Read 2 more answers
Please answer this question now in two minutes
fenix001 [56]

Answer:

Equation of a line is y = mx + c

where

m = slope

c = y intercept

y = 1/6x - 3

Comparing with the above formula

m = 1/6

Since the lines are parallel their slope are also the same

So the equation of the line using point (-4,2) is

y - 2 = 1/6( x + 4)

y - 2 = 1/6x + 2/3

y = 1/6x + 2/3 + 2

y = 1/6x + 8/3

Hope this helps

3 0
3 years ago
The ratio of boys to girls at the track meet is 2:3. If there were 54 girls, how many boys were there?
masya89 [10]

Answer:

36

Step-by-step explanation:

If you divide 54 by 3 you get 18. Now we get the ratio of boys which is 2 and you multiply it by 18 as 1 ratio I'm this case is 18.

Once you multiply the two numbers, you get 36 boys.

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
280x is a perfect square find x​
Nezavi [6.7K]

Answer:

x=280

Step-by-step explanation:

7 0
2 years ago
The quotient of 17 and k
zheka24 [161]

Answer: The answer to your question would be

   \frac{17}{k} .


3 0
3 years ago
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