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.
C
step by step explanation:
Answer:
x= 76, y = 63 z, 104
Step-by-step explanation:
We can find x since the three angles of a triangle add to 180 degrees
46+58+x = 180
104+x =180
Subtract 104 from each side
x = 180-104
x = 76
x and z form a straight line
x+z =180
76+ z = 180
Subtract 76 from each side
z = 180-76
z = 104
Z, 13 and y make a triangle
z+ 13 +y = 180
104+13+y = 180
117+y=180
Subtract 117 from each side
y = 180-117
y = 63
If you are trying to find the answer for x it would 20
Answer:
90% confidence interval: (70.41,86.89)
Step-by-step explanation:
We are given the following in the question:
Point estimate = 78.65
Margin of error, E = 8.24
Confidence level = 90%
Significance level = 10%
Formula:

Putting the values, we get,


(70.41,86.89) is the required 90% confidence interval.