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3 years ago

8

The older floppy diskettes measured 5 and 1/4 inches on each side .what was the diagonal length of the diskette to the nearest t

enth of an inch ?

1 answer:

borishaifa [10]3 years ago

8 0

Approximately 7.4 inches. You can use the Pythagorean theorem to get you diagonal or hypotenuse.

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The third segment in the graph is not as step as the segment. what does this mean?

Tomtit [17]

in geometry a line segment part of a line that is bounded by two distinct endpoints

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3 years ago

Find the radius of a circle with an area of 380 in².

Likurg_2 [28]

Answer:

11 inches

Step-by-step explanation:

The area of a circle can be found using:

$a=\pi r^{2}$

We already know that the area is 380, so we can substitute 380 in for a.

380= $\pi r^2$

Now, we need to find the radius. To do this, we need to get r by itself

First, divide both sides by pi

$380/\pi =\pi r^2/\pi$

120.95775675=r^2

Since r is being squared, we need to take the square root of both sides

$\sqrt{120.95775675}=\sqrt{r^2}$

10.9980796846=r

If we round to nearest whole number, our radius is 11 inches

5 0

3 years ago

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

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".

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

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n 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)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

5 0

3 years ago

PLEASE HELP LAST ONE ILL MARK BRAINLIEST

Nastasia [14]

Answer:

p and q, p and r, q and s

Step-by-step explanation:

hope that helps

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2 years ago

Please help first to answer correctly gets brainlyist

I am Lyosha [343]

Answer:

B.84

Step-by-step explanation:

B= are of base=12

H=7

Equation:B*h

12*7=84cm cubed

7 0

3 years ago