What is from greatest to least 4.1,4.01,4.009,4.085?

Make a table of values and create a line of best fit

Anni [7]

<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope$

Then:

$k=\frac{2-0}{1-0}=2$

Finally, the equation of the line is:

$\boxed{y=2x}$

4 0

3 years ago

10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the

Mandarinka [93]

Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:

$H_0: \mu = 0$

At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:

$H_1: \mu > 0$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the parameters are given as follows:

$\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50$ .

Hence, the test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}$

t = 2.23

<h3>What is the conclusion?</h3>

Considering a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a <em>significance level of 0.01 and 50 - 1 = 49 df</em>, the critical value is given by $t^{\ast} = 2.4$ .

Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

More can be learned about the t-distribution at brainly.com/question/26454209

5 0

2 years ago

What is 200% of 90?<br> Order from least to greatest?<br> 68% 0.63 13/20

Mandarinka [93]

200% of 90 is 180.

13/20=65/100 so

.63 < 13/20 < 68%

4 0

4 years ago

Can someone help explain this to me?

o-na [289]

Step-by-step explanation:

A. y-5=-4x+4

y=-4x+4+5

y= -4x +9

(0,9)(9/4,0)

8 0

3 years ago

diego has 90 songs on his playlist. how many songs are there for each genre ? 40% rock , 10% country , 30% hip hop , the rest is

hjlf

Answer:

Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Step-by-step explanation:

Given:

Total Songs on playlist = 90

rock = 40%

country = 10%

hip hop = 30%

rest is electronica.

We need to find the number of songs in each genre.

rock = 40%

So Number of songs in rock genre = $\frac{40}{100}\times90 = 36\ songs$

country = 10%

So Number of songs in country genre = $\frac{10}{100}\times90 = 9\ songs$

hip hop = 30%

So Number of songs in hip hop genre = $\frac{30}{100}\times90 = 27\ songs$ .

and rest is electronica genre.

Number of songs in electronica genre can be calculated by Subtracting Number of songs in rock genre and Number of songs in country genre and

Number of songs in hip hop genre from Total number of songs.

framing in equation form we get;

Number of songs in electronica genre = $90-30-9-27 = 24\ songs$

Hence Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

3 0

3 years ago

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