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tino4ka555 [31]
1 year ago
12

a positive integer divisor of 12! is chosen at random. the probability that the di-visor chosen is a perfect square can be expre

ssed asmn, wheremandnare relativelyprime positive integers. what ism n?
Mathematics
1 answer:
AveGali [126]1 year ago
3 0

The probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.

<h3>What exactly is meant by probability?</h3>
  • Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event.
  • The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring.

Given: Randomly, a positive integer divisor of 12! is selected.

Prime factorization of 12! = 2¹⁰ × 3⁵ × 5² × 7¹ × 11

Total divisors of 12! = 11 × 6 × 3 × 2 × 2

  • Each number in the prime factorization must have an even exponent in order to construct a perfect square divisor.
  • In the prime factorization, the divisor cannot have any factors of 7 and 11 because there is only one of each in 12!.
  • There are 6 × 3 × 2 perfect squares as a result.

The probability that the divisor chosen is a perfect square is given as:

(6 × 3 × 2)/(11 × 6 × 3 × 2 × 2)

= 1/22

=m/n

Therefore, the probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.

Learn more about probability here:

brainly.com/question/24756209

#SPJ4

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Solve the proportional<br> equation below:<br> x/4 = x-6/3
aleksandrvk [35]
<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

                \boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}

\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}      ‏‏‎      ‏‏‎‎      \mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}‏‏‎‎

             \boxed{\mathsf{3x = 4(x - 6)}}

Apply the distributive property:

\mathsf{3x = 4(x-6)}

\mathsf{3x = 4(x) - 4(6)}

\mathsf{3x = 4x - 24}

Add 24 to both sides:

\mathsf{3x + 24 = 4x - 24 + 24}

\mathsf{3x + 24 = 4x}

Substract 3x to both sides

\mathsf{3x - 3x + 24 = 4x - 3x}

\mathsf{24 = 4x - 3x}

\large{\boxed{\mathsf{24 = x}}}

‎      ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎      ‏‏‎

8 0
3 years ago
Y
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Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

k=64

find y when x=8

y=64/8

y=8

3 0
2 years ago
Graph the function: <br> f(x)=5/2x-6
MrMuchimi
Plug in any value for x and then you will get y.  Use the coordinates to plot.
Example
x= 2
5/2(2)-6
5-6
-1
(2,-1)
Then continue to do the same.
5 0
3 years ago
Write the polynomial function with the given zeros.<br> 5. x= -1,-1, 6
Allushta [10]

Answer:

Step-by-step explanation:

There are many such polynomials, but the one with leading coefficient of 1 is

y = (x+1)(x-1)(x-6) = x^3 - 6x^2 - x + 6

Not sure what you want to do with the 5, If that is the y-intercept, then since

(1)(-1)(-6) = 6, we will need

y = 5/6 (x^3 - 6x^2 - x + 6)

5 0
3 years ago
Im very young and need help whats 2+2
Fynjy0 [20]

Answer:

4

Step-by-step explanation:

if you had 2 monkeys and another 2 monkeys and you put them in a pen together then you will have 4 monkeys in the pen

hope this helps :))

7 0
3 years ago
Read 2 more answers
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