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tatiyna
3 years ago
15

What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?

Mathematics
2 answers:
pishuonlain [190]3 years ago
4 0
The equation for this is y= 4x+5
Lapatulllka [165]3 years ago
3 0

Answer:

y=4x+5

Step-by-step explanation:

Mathematically, the slope m of a line is:

m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}

Therefore, if we know the slope m of the line and a point (x_o , y_o) we will be able to find its equation simply solving for y:

y-y_o=m(x-x_o)

Replacing the data provided by the problem:

y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5

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Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

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

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Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that n = 500, \pi = \frac{350}{500} = 0.75

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

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3 years ago
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