The answer is 3. I did 3a^2/a. Hope that works
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
A. The answer is 49 Raise 7 to the power of 2 to get 49
b. The answer is 16 raise 2 to the power of 4 to get 16
c. The answer is 27 raise 3 to the power of 3 to get 27
d. The answer is 100.000 raise 10 to the power of 5 to get 100.000
Miles, who makes cash contributions to charities.
Answer:
<u>5</u><u>7</u><u>6</u><u> </u><u>cm³</u>
<em>the </em><em>formula </em><em>for </em><em>the </em><em>volemen </em><em>of </em><em>a </em><em>cylinder</em><em> </em><em>is </em><em>given </em><em>by </em><em>V </em><em>=</em><em> </em><em>π*</em><em>r²</em><em>*</em><em>h</em>
<em>We </em><em>are </em><em>hold </em><em>the </em><em>diameter</em><em> </em><em>is </em><em>8</em><em> </em><em>cm </em><em>(</em><em>r </em><em>2</em><em> </em><em>4</em><em>c</em><em>m</em><em>)</em><em> </em><em>and </em><em>the </em><em>height</em><em> </em><em>is </em><em>1</em><em>2</em><em>c</em><em>m</em>
<em>also,</em><em>to </em><em>use </em><em>3</em><em> </em><em>as </em><em>π</em>
<em>replacing</em><em> </em><em>into </em><em>the </em><em>formula</em><em>,</em><em>we </em><em>have:</em>
<em>V=</em><em> </em><em>3</em><em>*</em><em>4</em><em>²</em><em>*</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>3</em><em>*</em><em>1</em><em>6</em><em>c</em><em>m</em><em>*</em><em>1</em><em>2</em><em>c</em><em>m</em><em>*</em><em>=</em><em>5</em><em>7</em><em>6</em><em>c</em><em>m</em><em>³</em>
Step-by-step explanation:
<h3>hope it's help^_^</h3>
