11 1/4
Step-by-step explanation:
the yards have to be converted to feet
1 yards = 3 feet
5 yards x 3 = 15 feet
Area of a rectangle = length x width
15 x 2 1/4
15 x 9/4 = 33 3/4
33 3/4 x 1/3 = 135 /12 = 11 1/4
Rooms sold / total # rooms
90/115 = .78
Occupancy rate = 78%
answer is c ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
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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