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Sladkaya [172]
3 years ago
6

The equation y-3--2(x+5) is written in point-slope form. What is the y-intercept of the line?

Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0

We have the equation y - 3 = -2(x + 5)

By this we know that -2 is the slope and (-5, 3) is a point on the graph.

Using slope intercept form (y = mx + b), we can solve for the y-intercept (b).

3 = -2(-5) + b

3 = 10 + b

3 - 10 = 10 - 10 + b

-7 = b

Therefore, the answer is B.

Best of Luck!

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How is a property tax similar to and different from an income tax?
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Step-by-step explanation:

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3 years ago
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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random
Dahasolnce [82]

Answer:

(0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}, that is, option C

Step-by-step explanation:

From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.

This means that the proportions are:

p_C = \frac{34}{200} = 0.17

p_K = \frac{54}{200} = 0.27

Subtraction of proportions:

In the confidence interval, we subtract the proportions. So:

p = p_C - p_K = 0.17 - 0.27

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}.

Standard error:

For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:

\sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}

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.

So the confidence interval is:

(0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}, that is, option C

6 0
2 years ago
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mamaluj [8]

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

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