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3 years ago

What is the slope of this line of best fit?

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

The slope of the line of best fit is $\frac{-6}{7}$ ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ $x_{1}$ = 1 and $x_{2}$ = 8

∴ $y_{1}$ = 9 and $y_{2}$ = 3

- Substitute them in the formula of the slope

∴ $m=\frac{3-9}{8-1}=\frac{-6}{7}$

∴ The slope of the line of best fit is $\frac{-6}{7}$

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Need a quick answer please

lutik1710 [3]

Answer:

x= 3

Step-by-step explanation:

12x-12x= 2x 1+5=6

2x=6

x=3

5 0

2 years ago

Read 2 more answers

Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st

Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)

b) n=523 rounded up to the nearest integer

Step-by-step explanation:

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".

$\bar X=530$ represent the sample mean for the sample

$\mu$ population mean

s=70 represent the sample standard deviation

n=48 represent the sample size (variable of interest)

Confidence =95% or 0.995

Part a

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

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

The degrees of freedom are df=n-1=48-1=47

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(0.025,47)".And we see that $z_{\alpha/2}=2.01$

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

$530-2.01\frac{70}{\sqrt{48}}=509.692$

$530+2.01\frac{70}{\sqrt{48}}=550.308$

So on this case the 95% confidence interval would be given by (509.592;550.308)

Part b

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Assuming that $\hat \sigma =s$

And on this case we have that ME =6msec, 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 is provided, $z_{\alpha/2}=1.96$ , replacing into formula (b) we got:

$n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523$

So the answer for this case would be n=523 rounded up to the nearest integer

3 0

2 years ago

A number plus 5 more than 3 times the number is 37. Find the number

natima [27]

5+3x=37

Step 1
subtract 5 from both sides
3x=32

Step 2
divide by three
x=10.6(repeating)

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cgeq%20-%5Cfrac%7B1%7D%7B6%7D%20-%5Cfrac%7B2%7D%7B9%7D%20x" id="TexF

vodomira [7]

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
≥
−
3
x
≥
-
3
Interval Notation:
[
−
3
,
∞
)

4 0

2 years ago

Read 2 more answers

Can someone please help me with this

JulsSmile [24]

Answer:

x=155

Step-by-step explanation:

(2x-120)+10=180

or,2x-130=180

or,2x=180+130

or,2x=310

or,x=310÷2

x=155

6 0

2 years ago