What is the size of the tv when it’s 66 inches long and 56 inches tall

Complete the factorization of 3x2 – 5x + 2.

Schach [20]

3x² - 5x + 2
= 3x² - 3x - 2x + 2
= 3x(x-1) - 2(x-1)
= (x-1)(3x-2)

4 0

3 years ago

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Domain and range of the graph, is it a function?

Elenna [48]

Answer:

domain: [0, ∞)
range: (-∞, ∞)
not a function

Step-by-step explanation:

The arrows indicate the graph continues indefinitely in the direction indicated.

The domain is the horizontal extent, so is the interval from 0 to infinity, including 0.

The range is the vertical extent, so extends from negative infinity to positive infinity (all real numbers).

The graph does not pass the vertical line test: a vertical line intersects it in more than one place, so the relation is NOT a function.

4 0

2 years ago

How to divide 2 into 5/8?

levacccp [35]

It would be: 2 / 5/8
We can re-write it as: 2 * 8/5 = 16/5

So, your final is 16/5 or 3.2

Hope this helps!

3 0

2 years ago

When making a full batch of tuna, you will mix one pouch of Tina with 26oz (737g) of mayonnaise. How much tuna and mayonnaise wo

Ahat [919]

Two packs of Tina with 26 + 26 = 52 oz of mayonnaise.
I hope this helped

5 0

3 years ago

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Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

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

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

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

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

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

2 years ago