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3 years ago

What is the slope of the graph of 3x - 2y = 6?

Mathematics

2 answers:

nekit [7.7K]3 years ago

8 0

3x - 2y = 6 Convert to slope-intercept for y = mx + c where m = slope:-

-2y = -3x + 6

Divide through by -2:-

y = (3/2) x - 3

The slope is 3/2 or 1.5.

Lelu [443]3 years ago

7 0

The slope is 3/2.

Put the equation into slop intercept form (y=mx+b). M is the slope.

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Question 2 of 25

Softa [21]

The sample proportion $\hat{p}=0.22+0.033=0.253$ .

<h3>How to estimate the sample proportion?</h3>

We know that the confidence interval for sample proportion exists estimated as;

90% confidence interval = Sample proportion Margin of Error

Here, let $$\hat{p}$ = sample proportion

Level of significance = 1 - 0.90 = 0. $(0.22,0.28)=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ 10 or 10% Critical value of z at 5% (two-sided) level of significance exists 1.645.

So, 90% confidence interval $=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots(1)$

$$0.28=\hat{p}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots (2)$

From (1) and (2) , we get;

$$&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\$

Simplifying the equation, we get

$$&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22 \\$

$$&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06 \\$

$$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645} \\$

$$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.02$

Now, squaring both sides, we get;

$$\frac{\hat{p}(1-\hat{p})}{n}=0.0004 \\$

$$n=\frac{\hat{p}(1-\hat{p})}{0.0004}$

Now, putting value of n in (1), we get;

$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{\hat{p}(1-\hat{p})} \times 0.0004}$

Simplifying the equation, we get

$0.22=\hat{p}-1.645 \times \sqrt{0.0004}$

$0.22=\hat{p}-(1.645 \times 0.02)$

$0.22=\hat{p}-0.033$

$\hat{p}=0.22+0.033=0.253$ .

The sample proportion $\hat{p}=0.22+0.033=0.253$ .

Therefore, the correct answer is option D. 0.25.

To learn more about confidence interval refer to:

brainly.com/question/17212516

#SPJ9

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2 years ago

In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the

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Hey k c , do you still need help ?

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3 years ago

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svlad2 [7]

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3 years ago

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Tju [1.3M]

I think it’s d because I added 2/6 and 4/8

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3 years ago

2x . (x² - 5x + 6) - 3x . (x² + 2x -1)

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I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

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4 years ago

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