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pogonyaev
3 years ago
8

-4x-9y=27 find the slope and y intercept.

Mathematics
1 answer:
elixir [45]3 years ago
8 0
In y = mx + b form, the slope is in the m position and the y int is in the b position. So lets put ur equation in y = mx + b form.

-4x - 9y = 27....add 4x to both sides
-9y = 4x + 27 ...now divide both sides by -9
y = -4/9x - 3

And like I said, the slope is in the m position and the y int is in the b position...

y = mx + b
y = -4/9x - 3
so ur slope = -4/9 and ur y int = -3 or (0,-3)
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Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
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Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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

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For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

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Answer:

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Step-by-step explanation:

Given that:

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X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

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