Graphing rational functions

F(x) = 2x - 6,<br><br> find f(10).

siniylev [52]

Answer:

14

Step-by-step explanation:

use the given functions to set up and simplify f (10).

6 0

4 years ago

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

ale4655 [162]

Answer:

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=6.26$

The sample deviation calculated $s=2.47$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Assuming a Confidence of 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

6 0

3 years ago

to test a hypothesis about a given variable, experimental and control groups are tested in parallel. which of the following best

NeX [460]

The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

<h3>What is experimental design?</h3>

The process of deciding which variables to use in an experiment to test a particular hypothesis is called experimental design.
To properly collect data and evaluate the hypothesis, the experimental design method is used.

Now,

A specified variable is changed in the experimental group in a well-known fashion.
That selected variable is left unaltered in the control group so that comparisons can be conducted.
Control variables are variables that are utilized in an experiment to serve as a baseline against which the data from the experimental variables are gathered and evaluated (which is why the other answers are incorrect).
In the experimental group, it is advisable to modify just one variable at a time so that any differences from the control group may be quickly linked to the one variable that was altered.

Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

To learn more about experimental design, refer to the link:brainly.com/question/17274244

#SPJ4

3 0

1 year ago

The tables show the number of hours students

masha68 [24]

You didn’t include pictures.????

5 0

3 years ago

Find the domain and range of a parabola with vertex (3, 4) and focus (1, 4).

hammer [34]

9514 1404 393

Answer:

domain: (-∞, 3]
range: (-∞, ∞)

Step-by-step explanation:

The focus is to the left of the vertex, so the parabola opens to the left. The domain is all values of x less than or equal to 3: (-∞, 3].

The vertical extent of the graph is <em>all real numbers</em>, so the range is (-∞, ∞).

__

The graph shows the focus and directrix as well as the parabola.

4 0

3 years ago