Simplify by performing long division.

Verify -(-x) = x for:<br> a) <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D" id="TexFormula1" title="\frac{5}{9}" alt="

Mila [183]

It a because negative times a negative is a positive

5 0

3 years ago

19. Matt has already sold $72 worth of tickets to the

natulia [17]

Answer: This is a function, since it's considered to be able to be made into a word problem

Step-by-step explanation:

5 0

3 years ago

Ifx- 9 is a factor of x2 – 5x – 36, what is the other factor?

kkurt [141]

Hey there! :)

Answer:

(x + 4).

Step-by-step explanation:

When finding the factors of a polynomial with a leading coefficient of 1, we must look for numbers that sum up to -5 and multiply into -36.

We are already given -9 as one of the numbers, so simply divide from -36 to solve for the remaining number.

-36 / (-9) = 4.

Therefore, this equation in factored form would be:

(x - 9) (x + 4)

The other factor being (x + 4).

7 0

3 years ago

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A sample ofn = 25 scores has a mean of M = 83 and a standard deviation ofs = 15.

givi [52]

Answer:

a) The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"

b) $SE=\frac{15}{\sqrt{25}}=3$

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

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".

Let X the random variable who represents the scores. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =83,\sigma =15)$

We take a sample of n=25 nails.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part a

The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"

Part b

The standard error is given by:

$SE=\frac{\sigma}{\sqrt{n}}$

And replacing we got:

$SE=\frac{15}{\sqrt{25}}=3$

3 0

3 years ago

I need help with this question please

tatuchka [14]

Answer:

y=1/2x+4

Step-by-step explanation:

To find the formula of a line with slope intercept form, you need to know the slope of the line and the y intercept (where the line crosses the y axis, or where x is 0). The y intercept is visibly at (0,4). To find the slope of the line, you need to find how much the line "rises" in a certain amount of "run". You can see that the line moves two to the right for every one unit it moves up, meaning that it has a slope of 1/2. Plugging this into the slope intercept form, or y=mx+b, where m is the slope and b is the y intercept, you get:

y=1/2x+4

Hope this helps!

3 0

4 years ago

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