If x-y=4 and z = 6x-5-6y, then z=? A.) -1 B.) 1 C.) 19 D.) 24 E.) 29
1 answer:
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Answer: 11.5%
Explanation:
Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:
where
So, the z-score of 720 seconds is given by:
Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:
Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.
Explanation:
Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:
where
So, the z-score of 720 seconds is given by:
Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:
Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.
The initial value of the graph is where . Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.