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3 years ago

Find the slope of the line that contains (6,-4) and (-4,-4)

Mathematics

1 answer:

frez [133]3 years ago

5 0

Answer:y = -4

Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:

rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula

Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.

-4-(-4) / 6- (-4)

-4 + 4/ 6 +4

0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.

The final answer is then y = -4

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e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4

Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

Vera's rate is of 1/2.

Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

$\frac{1}{x} = \frac{1}{2} + \frac{1}{4}$

$\frac{1}{x} = \frac{2 + 1}{4}$

$3x = 4$

$x = \frac{4}{3}$

Then one dress takes $\frac{4}{3}$ of an hour, and the time for twelve dresses is:

$t = 12 \times \frac{4}{3} = 4(4) = 16$

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

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2 years ago

Ricardo paid $15 for 4 pounds of almonds. At this price, how much would he pay for 10 pounds of

vampirchik [111]

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How much more did Isabel earn than Sarah?

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3 years ago

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2 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

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3 years ago