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Over [174]
3 years ago
7

A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 3 are reggae songs, and 2 are country songs.

The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write the answer as a fraction in simplest form.
Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

The answer is 9/64. Also #djgirlpower

Step-by-step explanation:

9/64 is the equivalent of 3/8 • 3/8, which is the probability of the dj picking a reggae song once, and then again. That is most likely the case, except if the song that is played is removed from the collection of not-yet-played songs. Otherwise, I’m pretty sure if that’s the case, it would be 3/8 •2/7. Hope this helped :)

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SA = 2tr2 + 2trh
julsineya [31]

Given:

Radius of the cylinder = 5 in

Height of the cylinder = 30 in.

To find:

The surface area of the cylinder.

Solution:

The surface area of the cylinder is:

SA=2\pi r^2+2\pi rh

Where, r is the radius and h is the height of the cylinder.

Putting r=5,h=30,\pi=3.14 in the above formula, we get

SA=2(3.14)(5)^2+2(3.14)(5)(30)

SA=2(3.14)(25)+942

SA=157+942

SA=1099


Therefore, the surface area of the cylinder is 1099  square inches.

6 0
3 years ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

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 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

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)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%5C%5C%7D" id="TexFormula1" title="\sqrt[3]{216\\}" alt="\sqrt[3]{216\\}"
aivan3 [116]

Answer:

6

Step-by-step explanation:

\sqrt[3]{216} = \sqrt[3]{8} · \sqrt[3]{27}  =  \sqrt[3]{2}³ · \sqrt[3]{3}³ = 2 x 3  = 6

7 0
2 years ago
Antonio wants to choose a career path in which he would earn a median income of at least $20,000. He wants on-the-job training i
Zielflug [23.3K]

B) security guard

is the answer

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

4 0
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