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Studentka2010 [4]
3 years ago
9

1 point

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Step-by-step explanation:

If it looks like this: < with a line under it then it's called a less than or equal to sign.

If it looks like this: > with a line under it then it's a greater than or equal to sign

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2 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

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".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
What is the solution of 5/2-7= 3/4x+14,
Sidana [21]

Answer:

D) x = 12

Step-by-step explanation:

Given:

\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}

1. Multiply both sides by 4

\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56

2. Subtract 3x from both sides

\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56

3. Add 28 to both sides

\sf{7x-28+28=56+28}\\\\\implies 7x=84

4. Divide both sides by 7 to isolate the variable:

\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12

Learn more here:

brainly.com/question/27844194

3 0
2 years ago
A cheetah can run 70 miles per hour. what is this speed in feet per hour? explain work,
Brums [2.3K]
Tee answer would be 369,600, because 5,280 x 70 = 369,600
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3 years ago
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Does anyone know how to calculate the volume of a sphere
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Answer:

V=4 /3 times pie(3.14) times r^3

Step-by-step explanation:

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3 years ago
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