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olga55 [171]
3 years ago
6

The formula p=8n-30 gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 dollars are subtra

cted. If the profit p is $170, how many items were sold?
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

the answers is n=25. hope this helps

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f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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 0.03 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)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
2968 Divided. By. 56. What. Is the answer to this problem please show your work
Sladkaya [172]

Answer:

53

Step-by-step explanation:

i had to use this old method (pic related).

8 0
3 years ago
Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and
atroni [7]

see the attached figure to better understand the problem

we know that

If a and b are parallel lines

then

m∠1=m∠4 --------> by alternate exterior angles

m∠3+m∠4=180\° --------> by supplementary angles

so

m∠3+m∠1=180\°

therefore

<u>the answer is the option</u>

m∠1 = 110° and m∠3 = 70°



4 0
3 years ago
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The area of one triangle is 28.875 inches.
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110,411 in expanded form
Neporo4naja [7]
One hundred and ten thousand , four hundred and eleven

11000 + 400 +11
5 0
3 years ago
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