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3 years ago

What is the slope-intercept form for y – 6 = 3 ( x− 1/3 )

Mathematics

1 answer:

Leviafan [203]3 years ago

5 0

Answer:

y=3x+5

Step-by-step explanation:

This is th eanswer because slope intercept form is always y=mx+b.

So, if you simplify the right side of the equation, you then get

y-6=3x-1, I got that because 3 multiplied by -1/3, you get -1.

Then you add 6 to both sides to isolate y by itself. So, now you have

y=3x+5.

Hope this is helpful

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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 17 cans of the so

LiRa [457]

Answer:

a)Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

b) $\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

c) $p_v =P(\chi^2$

d) If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

Step-by-step explanation:

Data given

$n=17$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =0.11^2 = 0.0121$ represent the sample variance obtained

$\sigma^2_0 =0.14^2 = 0.0196$ represent the value that we want to test

Part a System of hypothesis

On this case we want to check if the population deviation is lower than 0.14, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

Part b: Calculate the statistic

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And replacing we got:

$\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

Part c: Calculate the p value

In order to calculate the p value we need to find first the degrees of freedom , on this case 17-1=16. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(9.878,16,TRUE)"

Part d: Conclusion

If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

8 0

3 years ago

What is the first step in solving the equation 4x+2y=5 for x

tia_tia [17]

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run.

$\frac{rise}{run}$

$m=\frac{rise}{run}$

$m=\frac{y^2-y^1}{x^2-x^1}$

But the slope is -2.

Hope this helps!

Thanks!

8 0

3 years ago

Read 2 more answers

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve

AfilCa [17]

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: $Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3$

Putting values in formula and finding x

$Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15$