We can tell that this absolute value function opens up, so the vertex will be at the x value where the output is the lowest. The lowest you can make |x+5| go is 0, because everything else will be a positive number is greater. The one x value that does that is -5. Plug in -5, and you will get |-5+5|-1=-1. So, the ordered pair for the vertex will be (-5,-1)
Answer:
Step-by-step explanation:
Answer:
0.55% probability that exactly 5 out of the first 13 customers buy a magazine
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
10% of his customers buy a magazine
This means that 
What is the probability that exactly 5 out of the first 13 customers buy a magazine?
This is P(X = 5) when n = 13. So


0.55% probability that exactly 5 out of the first 13 customers buy a magazine
Answer:
The number of items bought and the checking account balance - negative correlation
The height of a baseball player and the number of hits made- no correlation
The time spent practicing and the number of free throws made- positive correlation
Step-by-step explanation: