The quotient of twice a number t and 12
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.
Answer:
volume of the solid is 3.180
Step-by-step explanation:
given data
line x + y = 2
parabola x2 + y = 4
to find out
the volume of the solid
solution
we draw a graph between line and parabola as show in fig given below attach
line cut at (-1,3) and (2,0)
so the length of diameter is ( 4 - x²) - (2 - x)
and radius of this semi circle will be ( 4 - x² - 2 + x ) /2
radius = (-x² + x + 2 ) /2
and r(x) will be = (-x² + x + 2 ) /2
and A(x) will be = π ( r(x)² ) /2
we will integrate from -1 to 2
=
=
= 81π / 20
volume of the solid is 3.180
