Given the functions f(x)=1/x−3+1 and g(x)=1/x+4+3 .
1 answer:
You might be interested in
We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.
<h3>How to simplify the expression?</h3>Remember the exponent property:
Here we have the expression:
We can reorder this to get:
The right side can be simplified to:
Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:
Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).
If you want to learn more about scientific notation:
#SPJ1
Answer:
a) 87.91% probability that at most three used the emergency room
b) 20.13% probability that exactly three used the emergency room.
c) 3.28% probability that at least five used the emergency room
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. 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.
Sample of 10 people:
This means that
20% of the people in a community use the emergency room at a hospital in one year
This means that
a) At most three used the emergency room
87.91% probability that at most three used the emergency room
b) Exactly three used the emergency room
20.13% probability that exactly three used the emergency room.
c) At least five used the emergency room
In which
From 0 to 3, we already have in a).
3.28% probability that at least five used the emergency room