10x +2=7 what is the value of 2x
2 answers:
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Explanation:
Anna gets paid $8.75/hour working as a barista.
She gets paid $9.00/hour for creating weekly advertisement signs.
In total she works 25 hours a week.
Let 'x' represent the number of hours that she works as a barista, then would represent the number of hours she works to create signs.
A. We need to write a function h(x) that represents the amount of money that Anna earns working as a barista.
Since she is earning $8.75 per hour and she works as a barista for 'x' hours a week so the function is:
B. We need to write a function f(x) to represent the hours Anna works creating the signs.
Since, in total she works for 25 hours a week so the function to represent the number of hours she work to create signs can be given by:
C. If 's' represents the number of hours that Anna works creating signs, we need to create a function g(s) that represents her earning creating signs.
So the number of hours Anna works creating signs for the coffee break is , she gets paid $9.00 an hour for creating signs, so:
D. We need to finf a composite function , to find the desired function we need to plug value of f(x) in the function g(s):
The composite function g(f(x)) represents Anna's earnings while working just to create signs for the Coffee break.
E. To represent Anna's total earnings the functions that can be combined are h(x) and g(f(x)) because h(x) represents Anna's earnings while working as a barista and g(f(x)) represents Anna's earnings while she creates signs for the coffee break.
The function to represent Anna's total earnings can be given as:
where we must keep in mind that 'x' represents the number of hours she spent working as a barista in a 'week'.
Answer:
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.
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.
In this problem we have that:
If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:
This is
In which
There is a 25.52% probability of observating 4 our fewer succesful recommendations.