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3 years ago

Given f(x) = x -2, if the domain is 5, find the range

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

Answer:

Step-by-step explanation:

I don't say u must have to mark my and as brainliest but if it has really helped u then plz don't forget to thank me.....

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Amanda want to pay the same amount each month on her car loan. The number of payments varies inversely with the monthly payment

Oxana [17]

Answer:

Her monthly payment would be $280.

Step-by-step explanation:

Same amount of $ per month

175 times 48 equals 8,400

(175 = monthly payment, 48 = amount of months)

8,400 divided by 30 equals 280

(8,400 = total amount of money, 30 = amount of months)

This makes the months = money ratio:

30 months = $280.

7 0

2 years ago

Which elements make up the stars

leonid [27]

Answer:

Most stars have small amounts of heavy elements like carbon, nitrogen, oxygen and iron. But the shine from the stars comes from burning hydrogen into helium in their cores.

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7 0

2 years ago

A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec

VMariaS [17]

Answer:

$19.1-3.355\frac{1.5}{\sqrt{9}}=17.42$

$19.1+3.355\frac{1.5}{\sqrt{9}}=20.78$

And the best option would be:

C. [17.42,20.78]

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".

$\bar X=19.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 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 critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=9-1=8$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that $t_{\alpha/2}=$