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3 years ago

8

What is the equation of the graphed line in standard form?

2 answers:

Alona [7]3 years ago

7 0

A. 12x+y=6<span>B. −2x+y=6</span>

sweet [91]3 years ago

4 0

Answer:

$\frac{1}{2}x-y=-6$

Step-by-step explanation:

Let

$A(0,6),B(4,8)$ ------> observing the graph

The point A is the y-intercept of the line

<u>Find the slope</u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{8-6}{4-0}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

Find the equation of the line into slope-intercept form

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=6$ ------> remember point A

substitute

$y=\frac{1}{2}x+6$

Convert to standard form

$\frac{1}{2}x-y=-6$

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In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}$

$\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}$

$n = 242.5$

Rounding up

We need at least 243 stores.

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3 years ago

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erik [133]

Answer:

r = 34

Step-by-step explanation:

add 32 to both sides,

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