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DanielleElmas [232]
3 years ago
5

What is the equation of the line that passes through the point (2,-4) and has a slope of -2

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

The answer is

\huge y =  - 2x

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have

y + 4 =  - 2(x - 2) \\ y + 4 =  - 2x + 4 \\ y =  - 2x + 4 - 4

We have the final answer as

<h3>y = -2x</h3>

Hope this helps you

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Answer:

17/56

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PLZ HURRY IT'S URGENT!!
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Answer:

OPTION C: 60%

Step-by-step explanation:

Chances of raining the next day + Chances that it will not rain = 100%

One of them should definitely be true.

So, if the chance of it raining tomorrow is 40% then there is 60% chance that it will not rain tomorrow.

This can also seen as follows:

Probability of rain tomorrow + Probability of no rain = 1

Given Probability of rain tomorrow = 40% = $ \frac{40}{100} = \frac{2}{5} $

Probability of no rain tomorrow = 1 - Probability of rain tomorrow

⇒ Probability of no rain = 1 - $ \frac{2}{5} $

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3 years ago
What is the value for "x"?
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Suppose you are asked to take a sample of men and women in order to measure their emotional IQ. The emotional IQ scale that you
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Answer:

The 99% confidence interval for the scores of men is (64.406,75.594).

The 99% confidence interval for the scores of women is (73.609,90.391).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.797.

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The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.797\frac{10}{\sqrt{25}} = 5.594

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406

The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594

The 99% confidence interval for the scores of men is (64.406,75.594).

For women:

Standard deviation of 15.

The margin of error is:

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In which s is the standard deviation of the sample and n is the size of the sample.

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The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391

The 99% confidence interval for the scores of women is (73.609,90.391).

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2 years ago
Which of the following is true about indexes and scales?
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<u><em>Scale</em></u> is a type of complex measurement that is combined of several items that have a empirical structure among them.

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