Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>An exponential function is a function in which the growth rate is a percentage, modeled by:
In which:
f(3.5) = 25 means that:
f(8.5) = 14 means that:
Hence:
Hence, the function is given by:
Then, when x = 5.5:
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
Step-by-step explanation:
Given that a machine produces defective parts with three different probabilities depending on its state of repair.
condition Good order Wearing down Needs main Total
Prob 0.8 0.1 0.1 1
Defective 0.02 0.1 0.3
Joint prob 0.016 0.01 0.03 0.056
a) 0.016
b) total = 0.056
c) If not defective from needs maintenance
Prob for not defective =
From machine that needs maintenance = 0.07
So reqd prob =
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
per mile
Plan 2:
per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
Plan 2:
To solve (a), we equate both plans together; i.e.
Collect Like Terms
Solve for x
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
<em>Hence, the amount is $65</em>