2.5 inches is 6.35 centimeters because 1 inch is 2.54 cm
Answer:
3.5568743e+14
Step-by-step explanation:
This is probabilities and you need to find the total possible outcomes
6+5+4= 17
So you do 17 factorials which basically is-multiplying each number down so 17 x 16 x 15 x14... and so on. So 17 factorial would get the total possible outcomes.
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
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Answer:
Step-by-step explanation:
3x(x^2+4)
3x^2+12x
