X = 79/16, D : 4.9375 :) hope this helps uu!
Answer:
math stinks im sorry use math papa algabraic calculator
Step-by-step explanation:
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
Answer:
(-1, -1), x = -1
Step-by-step explanation:
The lines, when graphed, intersect at (-1, -1).
Also, since both equations equal y, you can make them both equal each other: 4x + 3 = -x - 2
Then, we can simplify by adding x to both sides and subtracting 3 from both sides: 5x = -5
Then divide both sides by 5: x = -1
You can then replace x on either equation with -1 and the result is -1 for both. This means that x is -1 and since the result is -1, the solution point, or the intersection, is (-1, -1)
