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bogdanovich [222]
3 years ago
10

You have 3 rap songs, 6 country songs, and 4 rock songs on your MP3 player. You shuffle the songs so they play at random without

repeating. What is the probability that the first song will be rap and the second song will be country?
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0
3+6+4=13 songs
Rap Probability: 3/13
Country Probability after the first song: 6/12
3/13*1/2=3/26
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Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t
Umnica [9.8K]

Answer:

<h3>The option A) x^{10}z^7 is correct answer.</h3><h3>The correct simplification for the given expression \frac{x^{12}\times z^{11}}{x^2\times z^4} is x^{10}z^7</h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as \frac{x^{12}\times z^{11}}{x^2\times z^4}

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

\frac{x^{12}\times z^{11}}{x^2\times z^4}

=x^{12}\times z^{11}(x^{-2}\times z^{-4})   ( by using the identity \frac{1}{a^m}=a^{-m} )

=(x^{12}.x^{-2})\times (z^{11}.z^{-4})

=x^{12-2}\times z^{11-4} ( by using the identity a^m.a^n=a^{m+n} )

=x^{10}\times z^7

=x^{10}z^7

∴ \frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7

<h3>The correct simplification for the given expression \frac{x^{12}\times z^{11}}{x^2\times z^4} is x^{10}z^7</h3><h3>Hence option A) x^{10}z^7 is correct answer.</h3>

4 0
3 years ago
Solve to find x and y in the diagram. HELP PLEASE!!!
Mashcka [7]

6x = 90

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4x + 10y = 90

4(15) + 10y = 90

60 + 10y  = 90

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Answer: Last option

x = 15, y = 3

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Step-by-step explanation:

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I need help with solving this
leva [86]

Answer:

49

Step-by-step explanation:

Positive 49 not -49

3 0
3 years ago
HELP PICTURE IS SJOWN
jek_recluse [69]
Letter B is the answer

Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units

Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2


Area of Square = s^2
A of S = 15^2
A of S = 225 units^2


Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2



LETTER B
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