All functions have an inverse expression.
- The cost function is:
. - The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
brainly.com/question/10300045
Answer: C . 
and 
Step-by-step explanation:
Definition:
Null hypothesis
is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.
Alternative hypothesis
is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.
Let 
be the average customer waiting time for the population.
Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.
Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.
Then, the null and alternative hypothesis for this scenario will be :
Answer:
1 6/7
Step-by-step explanation:
1 & 6/7
Let's find out the gradient (Slope " m ") of line q ;
Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :
Now, plug in the value of gradient ~
here we can clearly observe that, the Area under the curve can easily be represented as :
Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q
Answer:
18/28
Step-by-step explanation:
