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larisa [96]
3 years ago
12

Compare the linear functions expressed by the equation, y = –x + 3, and by data in the table.

Mathematics
2 answers:
Ksju [112]3 years ago
7 0

Answer:

<u><em></em></u>

  • <u><em>The two linear equations are not the same, because have different y-intercept, but are parallel because have the same slope.</em></u>

Explanation:

<u>1. The equation y = –x + 3 is in the slope-intercept form.</u>

The general slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.

If two linear equations have the same slope (m) and y-intercept (b) they represent the same function.

By visual inspection, the slope and y-intercepts of y = –x + 3 are:

  • slope: m = y = –1
  • y-intercept: b = 3

<u>2. Table</u>

    x       y

   -4       1

   -2      -1

    1       -4

    3      -6

Calculate the slope:

  • slope = rise/run = Δy/Δx

  • (-1 - 1) / (-2 - (-4) ) = -1

  • (-4 - (-1) ) / (1 - (-2) ) = -1

  • (-6 - (-4) ) / (3 - 1) = -1

Thus, this function has a constant rate of change Δy/Δx, or slipe,  equal to slope of y = - x + 3.

What about the y-intercept?

You can calculate it using any point from the table. Using (1, -4):

  • y = mx + b
  • -4 = -1(1) + b
  • -4 = -1 + b
  • -4 + 1 = b
  • -3 = b
  • b = - 3

And the equation is y = - x - 3.

In conclusion the two linear equations are not the same, because they have different y-intercept, but are parallel because have the same slope.

Inessa05 [86]3 years ago
5 0

Answer:

When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.

Step-by-step explanation:

sample response

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e hypothesis are as follows:H0:m0:5vs.H1:m&gt;0:5. Suppose that the null hypothesis is not rejected and that thereal truth is th
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The null hypothesis is not rejected  and hence Type II error occurred

Step-by-step explanation:

Here

The null hypothesis is as follows

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The alternate hypothesis is as follows -

H1 = Mean >0.5

For Type I error = The Null hypothesis is rejected if null hypothesis is actually true

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Here, the null hypothesis is not rejected  and hence Type II error occurred

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3 years ago
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
agasfer [191]

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

<h3>What is Standard deviation?</h3>

The standard deviation serves as a gauge for the degree of variation or dispersion among a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

With a standard deviation of $24,500 and an average mortgage debt of $306,500, Americans have a median mortgage debt.

<h3>According to the given information:</h3>

The population's average is

μ = 306,500

Standard deviation for the general population is

σ = 24500

Imagine 150 Americans are chosen at random for the sample.

n= 150

The sample mean is roughly normally distributed as a result of the high sample size, which is supported by the central limit theorem.

The population mean and sample mean would be the same,

μ_n = μ =306,500

Here is how to calculate the sample standard deviation:

\sigma_{x}=\frac{\sigma}{\sqrt{n}}

the sample size is n, and is the population standard deviation.

\begin{aligned}&\sigma_{x}=\frac{24,500}{\sqrt{150}} \\&\sigma_{x}=\$ 2,000\end{aligned}

The necessary conditions are thus:

1. μ = 306,500

2.σ = 24,500

3. n = 150

4. μ_x = $306,500

5. σ_x = $2000

To know more about Standard deviation visit:

brainly.com/question/16965372

#SPJ4

I understand that the question you are looking for is :

A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:

1.1.  $mu=?\\2. $sigma=?\\3. $=n=$\\4. $mu_{overlinex}=$x=?\\5. $sigma_{overlinex}=$x=?

4 0
2 years ago
Which of the following choices does not show a function?
Pie

Answer:

{(2,5), (3,7), (2, 9) } is not a function

Step-by-step explanation:

It's because the domain, which is the x value, has the same number twice, which is 2.

7 0
3 years ago
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