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SIZIF [17.4K]
3 years ago
9

Someone please help me answer this geometry question!! will give brainliest and 5 stars

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
Do 6/24 = x/20 and then cross multiply :)
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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
2 years ago
The expression -50 + 100 represents the balance, in dollars, of the banks account after x months.
Troyanec [42]

Answer:

maybe I think the answer is 50

3 0
2 years ago
Help ???????????????????
STALIN [3.7K]

341:100•38=129,58 $)))))))))

4 0
3 years ago
A high school basketball player attempted 35 free throws in a season. An analyst determined that the player successfully made 4
Iteru [2.4K]
36 divided by 6
that equals 6
multiply 6 x 5
that equals 30

your final answer is: 30

*HOPE I HELPED!*
8 0
3 years ago
What is 0.25 in the equation p(x)=0.25x-50
stira [4]
0.25 represents the slope of the line. For every 1 unit it goes up, it goes 4 to the right.
8 0
3 years ago
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