Here is the solution...
Compensation
The compensation is nothing but the process of reforming the given expression to find the answer mentally.
Here we need to rewrite the given expression in order find the answer mentally.
<u>Step 1:</u>
Here we can add 8 with 6572, so we get 6580.
<u>Step 2: </u>
Add 8 from 239, so we get 247.
<u>Step 3:</u>
We can rewrite 247 as 240 + 7
<u>Step 4:</u>
Now we can subtract 240 from 6580, so we get 6340.
We can calculate this mentally.
<u>Step 5:</u>
Finally, we can subtract 7 from 6340 mentally, So we get
6333.
Mathematically, the above expression written as
6572- 239
= 6572 + 8 - (239 + 8)
= 6580 - 247
= 6580 - (240 + 7)
= 6580 -240 - 7
= 6340 - 7
= 6333
Answer:
1/9
Step-by-step explanation:
Answer:
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 10 minutes and a standard deviation of 3 minutes
This means that 
Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
This is 1 subtracted by the p-value of Z when X = 15, so:



has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
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