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Shalnov [3]
1 year ago
12

You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetic

al order?
Mathematics
1 answer:
amid [387]1 year ago
5 0

The probability that all five end up in alphabetical order is; 1/120.

<h3>What is the probability that the rack ends up in alphabetical order?</h3>

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120

Read more on probability;

brainly.com/question/251701

#SPJ1

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2x+4+x=8+2(3+x)-3 solve for x
Marizza181 [45]

Answer:x=7

Step-by-step explanation:

Use BODMAS

Open bracket first

2x+4+x=8+2(3+x)-3

2x+4+x=8+6+2x-3

2×+x-2x=8+6-3-4

×=7

4 0
3 years ago
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Are the equations 9x=5x+4 and 14x=4 equivilant?​
Paha777 [63]

Answer:

No

Step-by-step explanation:

First solve both equations:

1) 9x = 5x + 4

Simplifying

9x = 5x + 4

Reorder the terms:

9x = 4 + 5x

Solving

9x = 4 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

9x + -5x = 4 + 5x + -5x

Combine like terms: 9x + -5x = 4x

4x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0

4x = 4 + 0

4x = 4

Divide each side by '4'.

x = 1

Simplifying

x = 1

2) 14x = 4

14x = 4 (divide both sides by 14 to get x)

14x/14 = 4/14

x = 0.285714285714

As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.

4 0
2 years ago
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Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicat
ipn [44]

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

H_0: p = 5.8\%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

H_a: p > 5.8\%

This means that the correct answer is given by option c.

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3 years ago
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Zarrin [17]

7(x - 2) - 3(3 + X) greater than 1

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x is greater than 6

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the outdoor temperature was 8 degrees at midnight the. temperature declined 5 degrees during each. of the next 3 hours what was
LenKa [72]
-7 degrees would be the answer
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