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3 years ago

What is the equation of the line of the best fit for the following data?

Mathematics

2 answers:

inysia [295]3 years ago

6 0

Answer:

The answer i y = -1.560x + 22.105

Step-by-step explanation:

aksik [14]3 years ago

3 0

C The answer is y=1.560-22.105

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Need help ASAP !!!! ?!?!!

Darya [45]

125ft would be your answer

8 0

3 years ago

Read 2 more answers

The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the resul

olganol [36]

So let’s make the smaller number x and the larger one y....

Set up your equation by following the words signaling mathematical operations from the question.

y = 8 + 4x
y + 4x = 40

Now let’s bring all variables to one side and solve the system if equations with elimination...

y - 4x = 8
y + 4x = 40

Add the equations:

2y = 48
y = 24

Plug the y-value into one of the original equations:

24 = 8 + 4x
16 = 4x
4x = 16
x = 4

And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.

7 0

3 years ago

Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what

Ksju [112]

$y=mx+b \\ \\
(x,y)=(-4,-5) \hbox{ and } (x,y)=(-6,3) \\ \Downarrow \\
-5=-4m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \times (-3) \\
3=-6m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times 2 \\ \\
15=12m-3b \\
\underline{6=-12m+2b} \\
21=-b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-1) \\
\boxed{b=-21}$

The value of b is -21.

4 0

4 years ago

Read 2 more answers

A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp

fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion $\hat p$

$\hat p = \dfrac{x}{n}$

$\hat p = \dfrac{55}{100}$

$\hat p$ = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

$Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576$

Then the margin of error $E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}$

$E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}$

$E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}$

$E = 2.576 \times0.04975$

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: $\hat p - E$

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0

3 years ago

Graph the following equation using X- and y-intercepts.<br> x + y = -3

Kitty [74]

Answer:

x-intercept: (-3,0)

y-intercept: (0,-3)

Step-by-step explanation:

Looking at the equation, we can see that it is already in standard form, or in a $Ax+By=C$ format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for $C$ and the coefficient for the x term for $A$ . So, in this case, $C = -3$ and $A = 1$ :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. $C$ is still the number on the right side of the equation and $B$ is the coefficient of the y term. So, $C = -3$ and $B = 1$ .

$(0,\frac{C}{B})\\ (0, \frac{-3}{1})\\(0, -3)$

Therefore, (0, -3) is the y-intercept.

7 0

3 years ago