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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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The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 45 mushroom pizzas and 30 pepperoni pizzas. W
alukav5142 [94]

Answer: 60%

Step-by-step explanation:

45+30=75=100%

75/10=7.5=10%

7.5*6=45=60%

6 0
3 years ago
Let <img src="https://tex.z-dn.net/?f=i" id="TexFormula1" title="i" alt="i" align="absmiddle" class="latex-formula"> be the imag
VLD [36.1K]

Hey~freckledspots!\\----------------------

We~will~solve~for~i^{425}!

Rule~of~exponent: a^{b + c} = a^ba^c\\Apply:~i^{425}~=~i^{424}i\\ \\Rule~of~exponent: a^{bc} = (a^{b})^c\\Apply: i^{424} = i(i^2)^{212} \\\\Rule~of~imaginary~number: i^2 = -1\\Apply: i(i^2)^{212} = -1^{212}i\\\\Rule~of~exponent~if~n~is~even: -a^n = a^n\\Apply: -1^{212}i = 1^{212}i\\\\Simplify: 1^{212}i = 1i\\Multiply: 1i * 1 = i\\----------------------\\

Now~let's~solve~1^{14}!\\\\Rule~of~exponent: a^{b + c} = a^ba^c\\Apply: i^{14} = (i^2)^7\\\\Rule~of~imaginary~number: i^2 = -1\\Apply: (i^2)^7 = -1^7\\\\Rule~of~exponent~if~n~is~odd: (-a)^n = -a^n\\Apply: -1^7 = -1^7\\\\Simplify: -1^7 = -1\\----------------------\\Now,~we~have: i-1+i^{-14}+i^{44}\\----------------------

Now~lets~solve~i^{-14}\\\\Rule~of~exponent: a^{-b} = \frac{1}{a^b} \\Apply: i^{-14} = \frac{1}{i^{14}} \\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: \frac{1}{i^{14}} = \frac{1}{(i^2)^7}\\ \\Rule~of~imagianry~number: i^2 = -1\\Apply: \frac{1}{(i^2)^7} = \frac{1}{-1^7} \\\\Simplify: \frac{1}{-1^7} = \frac{1}{-1} \\\\Rule~of~fractions: \frac{a}{-b} = -\frac{a}{b} \\Apply: \frac{1}{-1} = -\frac{1}{1} = -1\\----------------------\\Now,~we~have: i-1-1+i^44\\----------------------

Now~let's~solve~i^{44}!\\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: i^{44} = (i^2)^{22}\\\\Rule~of~imaginary~numbers: i^2 = -1\\Apply: (i^2)^{22} = -1^{22}\\\\Rule~of~exponent~if~n~is~even: (-a)^n = a^n\\Apply: -1^{22} = 1^{22}\\\\Simplify: 1^{22} = 1\\----------------------\\Now,~we~have~i-1-1+1\\----------------------

Now~let's~simplify~the~expression!\\\\= i-1-1+1 \\= 1 + i -2\\= -1+i\\----------------------

Answer:\\\large\boxed{-1+i}\\----------------------

Hope~This~Helped!~Good~Luck!

8 0
4 years ago
Read 2 more answers
A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly
lara31 [8.8K]
Well, there are 8 boys and the brother is one of them so 1 is 12.5% of 8 and out of 10 girls, there 1 is the sister and 1 out of 10 is 10%. Now we multiply the percentages to get the answer 1/80
8 0
3 years ago
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If an elevation 20 meters below sea level is represented by the number -20, which of the following can best be represented by th
andreyandreev [35.5K]
Your answer would be B. An elevation at sea level
This is because if you picture it like a grid, -20 on the y axis is below 0, and 0 on the y axis is the y axis, so it would be on sea level.

I hope this helps!
7 0
3 years ago
A circle has a diameter 9cm<br><br>Pls help meeeeeeeeeeeeeeeeeeeeeee
Slav-nsk [51]

Answer:

A=63.585 cm²

Step-by-step explanation:

Note : It is not given what to find so i am finding are of the circle.

D=9cm

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r=9/2

r=4.5

Area of the circle :

A=πr²

A=π4.5²

A=63.585 cm²

7 0
3 years ago
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