The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency table below summarizes the results. If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to three decimal places as needed.
Waiting Time (minutes)
0-3

4-7

8-11

12-15

16-19

20-23

24-27

Number of Customers

9
10
12
4
4
2
2

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Ответ:

birdman37361

22.04.2022

Mathematics

$\frac{4}{3}$

Step-by-step explanation:

The average rate of change can be found by using the following formula

$\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}$

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

$\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}$

Good luck!

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