Answer:
- 7
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 5, - 2 ]
f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0
f(a) = f(- 5) = (- 5)² - 4 = 25 - 4 = 21, thus
average rate of change = 
= 
= - 7
There are 6 pockets all together. You checked two of them and it wasn't
there. So you can forget about those 2, and now there are 4 pockets left.
The total number of ways for your next try is 4.
The number that will be successful is 1.
The probability of success on the next one is <em>1/4 = 25% .</em>
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Another method of solution, somewhat more complex:
Total number of pockets = 6.
Amount of money missing = $10
First partial sum, i.e. sum of numbers
in the first part of the problem = 6 + 10 = 16.
Total number of pockets = 6
Current value of cargo pants on a fashion scale from 1 to 10 = -2.
Second partial sum = 6 - 2 = 4.
Probability = (second partial sum) / (first partial sum) = 4/16 = <em>25% </em>.
There is a 1/3 chance both will land on 6.
