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3 years ago

Graph the line with slope -3 and y-intercept 3. please

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

I can't post a graph, but I will explain how to do it.

Step-by-step explanation:

The y intercept is 3, so we know we can place a point at the coordinates (0,3). The y intercept is the point where your line crosses the y axis.

The slope is -3, which is the same as -3/1. The top number is the y axis, the bottom number of the slope is the x axis. This tells us that for every 1 space we move on the x axis, we move -3 spaces on the y axis. You should therefore have a second point located at (1,0).

You should end up with a line with a point at (0,3) and (1,0) which slopes down from left to right. Hope that helps.

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

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Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

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