52,000$ because 52,000 is 2/3 of 72,000 and 12 is 2/3 of 18
The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
What do you mean by absolute maximum and minimum ?
A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.
It is given that function is f(x) = |x + 3|.
We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.
So , if we put |x + 3| = 0 , then :
± x + 3 = 0
±x = -3
So , we can have two values of x which are either -3 or 3.
The value 3 will be absolute maximum and -3 will be absolute minimum.
Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.
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Answer:
Step-by-step explanation:
Answer: 0.0944
Step-by-step explanation:
Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.
Number of cars tested do have faulty catalytic converters =42
Then the proportion of cars have faulty catalytic converters : 
Critical value of z for 99% confidence level : 
Formula for Margin of error :


Hence, the required margin of error = 
Answer:
1
Step-by-step explanation:
Anything to the power of 0 equals to 1
Since this is 3 to the power of 0, it will equal to 1