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3 years ago

Use the graph to evaluate the step function at x =3

Mathematics

1 answer:

BabaBlast [244]3 years ago

3 0

Answer:

Step-by-step explanation:

To evaluate the value of the function at 3, draw vertical line $x=3,$ and find the point of intersection of this line with the graph of the given function.

You can see that the vertical line has two common points with the graph: (3,5) and (3,7). The first point (3,5) is solid (filled), so this point belongs to the graph and it is the point of intersection. The second point (3,7) is open point (not filled), so this point does not belong to the graph, so it cannot be the point of intersection.

Hence,

$f(3)=5$

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Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of er

Vikentia [17]

Answer:

$ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1$

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".

$\bar X =69$ represent the sample mean for the sample

$\mu$ population mean

s=4.0 represent the sample standard deviation

n=64 represent the sample size

Assuming the X follows a normal distribution

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

The sample mean $\bar X$ have the following distribution:

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

The margin of error for the sample mean is given by this formula:

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

Since we have the sample standard deviation we can estimate the margin of error like this:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$

We can find the degrees of freedom like this:

$df=n-1=64-1=63$

And we can find the critical value with the following code in excel for example: "=T.INV(0.025,63)" and we got:

$t_{\alpha/2}=\pm 1.998$

And the margin of error would be :

$ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1$

3 0

3 years ago

Send answers I will check if correct

Vikentia [17]

Step-by-step explanation:

x = n of years of mary

x+8= n of years of her bro

So her brother is (x+8)/x times as old as Mary

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3 years ago

A bag contains 3 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble,

marin [14]

50% because when you take out the first marble witch is probably blue since there are more blue you would have 2 blue and 2 green so the chance would be 50%

6 0

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ABC is equal to DEF. what angle corresponds to angle B?

gregori [183]

Angle B corresponds to ANGLE E.

You can simply tell by looking at the letters that are arranged.

ΔABC = ΔDEF

Hope this helps

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3 years ago

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