Answer: x = 10
Explanation: To solve this equation for <em>x</em>, we start by distributing the 2 through the parentheses on the left side.
So we have 2 times <em>x</em> which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.
Solving from here,
we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that <em>x = 10</em>.
We can check our answer by substituting a 10 back in for <em>x</em> in the original equation and we have 2(10 - 3) = 14.
10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.
Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at brainly.com/question/24855677
I would simply solve the fraction as a division question. To divide 36 by 10, just move the decimal one place to the left. That gives you 3.6
