All categories

3 years ago

Expand the following.... please help

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

4 0

= (3/8) (16x + - 24)
=(3/8) (16x) +(3/8)(-24)
=6x - 9

You might be interested in

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

5 0

3 years ago

Find the function !!! 10 points - Help needed!

Arte-miy333 [17]

<h2>Hello!</h2>

The answer is:

The first option,

$f^{-1}(x)=\frac{x-2}{4}$

To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".

We are given the function:

$f(x)=4x+2$

Write "f(x)" is equal to write "y", so:

$y=4x+2$

Now, finding the inverse, we have:

$y=4x+2\\x=4y+2\\x-2=4y\\y=\frac{x-2}{4}$

Hence, we have that the answer is the first option,

$f^{-1}(x)=\frac{x-2}{4}$

Have a nice day!

4 0

3 years ago

Read 2 more answers

Kate made tables of values to solve a system of equations. First she found that the x-value of the solutionwas between 0 and 1,

Blizzard [7]

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

The difference between y-values is smallest for x=0.6. The approximate y-value is reasonably chosen as the average of the y-values for that value of x.

(x, y) = (0.6, 1.3) is a reasonable approximation