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kvasek [131]
2 years ago
8

You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

The probability is 1/24

Step-by-step explanation:

The total number of possible arrangements is;

4! = 4 * 3 * 2 * 1 = 24

Now, out of all these, there is only one possible correct alphabetical arrangement

so, to get this probability, we have to divide 1 by the total number of possible arrangements

we have this simply as 1/24

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A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire
Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the  length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B  ft

Now, AREA of the given park =  L x B

⇒ L x B  = 3,600 sq ft   ... (1)

Also, the perimeter of three sides  = 180 ft

⇒ 2 L +  B  = 180  ..... (2)

Now, from (1) and (2), we get:

L x B  = 3,600

2 L +  B  = 180   ⇒ B  = 180 - 2 L

Substitute this in(1) , we get:

L x B  = 3,600   ⇒ L x (180 - 2 L)  = 3600

\implies  180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0

⇒ L = 30 or L  = 60

So, if L  = 30  ft , then B = 180 - 2L  =  180 - 60 = 120 ft

So, if L  = 60  ft , then B = 180 - 2L  =  180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the  length of the field is 60 ft, then width is 60 ft.

4 0
3 years ago
(10 + 2)² + (6 -14÷7) =​
BartSMP [9]

Answer:

148

Step-by-step explanation:

12 x 12 + (6-2)

144 + 4 = 148

Hope that helps!

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2 years ago
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Answer:

x greater-than -5

Step-by-step explanation:

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Convert 7/12 to a percent
mr_godi [17]

Answer: Your Answer Is  58.3% (:

Step-by-step explanation: 7/12 Converted to a percent Is  58.3%. Hope This

Helps!!! (:

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seropon [69]

Answer:

10x^2-10x+3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

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