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Varvara68 [4.7K]
3 years ago
5

A radio disc jockey has 8 songs on this upcoming hours playlist: 3 are rock songs,2 are reggae, and 3 are country songs. The dis

c 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?
Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0
P (both songs are reggae songs)=2/8×1/7=2/56=1/28
ioda3 years ago
3 0
Answer:

The Probability That Both Songs Are Probably Reggae Is 2 Out Of 8. This Is Because Our Of All 8 Songs There Are Only 2 Reggae Songs So It Can Only Be Picked Twice
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solmaris [256]

Answer:

E. 55 hours.

Step by step:

Multiple $15x40, equals $600

Subtract $600 from $937.50, equals $337.50

50% more over 40 hours is $22.50

Divide $337.50 by $22.50, equals 15

Add 15 to 40, equals 45

So she worked 55 hours to get paid $937.50

7 0
3 years ago
A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more
mezya [45]

The y-coordinate is between -1 and -2. It is close to halfway between -1 and -2, but it is a little less than halfway.

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5 0
3 years ago
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gayaneshka [121]
Once upon a time there was a guy named Jeff. he went to a new school where he moved. so he was all by himself with no friends at all.. so then he met this guy named Zac so it was 1+1=2. and they were bff so they lived happily ever after together being bffs
4 0
3 years ago
Divide $8 in the ratio 2:3​
miss Akunina [59]

Answer:

<h2><u><em>3.2$ and 4.8$</em></u></h2>

Step-by-step explanation:

divide $8 in the ratio 2:3​

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1.6 * 2 = 3.2 (ratio2)

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----------

3.2 + 4.8 = 8

the answer is good

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