Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

If a positive integer n is picked at random from the
positive integers less than or equal to 10, what is the 
probability that 5n + 3 ≤ 14?


Sagot :

It is a good practice to solve this inequality first:
[tex] 5\cdot n + 3 \leq 14 [/tex]
[tex] 5\cdot n \leq 11 [/tex]
[tex] n \leq \frac{11}{5} [/tex]
[tex] \frac{11}{5} = 2.2 [/tex]
So we want to check, what is the probability, that this number is less than or equal to 2.2
Among 10 integers we have only 2 numbers that are less or equal to 2.2, namely 1 and 2. Therefore, the probability is:
[tex] \frac{2}{10}=\frac{1}{5} [/tex]