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3 years ago

What is 140 degrees in radian mesure with multiple of pi

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Ok, to check back on what the measure of a radian is, it is 57.3 degrees. So it would be about .78 $\pi$ radians

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What is the length of the diagonal?

Juliette [100K]

Answer:

The value of <em>x </em>is equal to 26 cm.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this problem.

$a^2+b^2=c^2$

$a=10\\b=24\\c=?$

$10^2+24^2=c^2$

$100+576=c^2$

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2 years ago

Which value is a solution of the inequality

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Answer:

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Step-by-step explanation:

32 is the only answer where 1/4(32) equals 8.

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3 years ago

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Diano4ka-milaya [45]

Answer:

$\fbox{y=3x-4}$

Step-by-step explanation:

Let me know if you want the full explanation. Have a great day! ❤

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3 years ago

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laiz [17]

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3 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 $t_{\alpha/2}=$

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

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

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

And the best option would be:

C. [17.42,20.78]

5 0

3 years ago