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AleksAgata [21]
3 years ago
7

Write an equation parallel to y=-3x-2 through the point (3, -5)

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
3 0

Answer:

y = -3x + 4

Step-by-step explanation:

I graphed the equation and the point given on the graph below. The other line is the equation that is parallel.

If this answer is correct, please make me Brainliest!

Norma-Jean [14]3 years ago
3 0

Answer:

y = - 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x - 2 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 5) into the partial equation

- 5 = - 9 + c ⇒ c = - 5 + 9 = 4

y = - 3x + 4  ← equation of parallel line

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Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

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This means that n = 200, X = \frac{74}{200} = 0.37

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z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

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The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

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