Answer:
Total derangement = 4
Step-by-step explanation:
To find - How many derangement of {1, 2, 3, 4, 5, 6} begin with the integers 1, 2, and 3, in some order?
Solution -
Given that,
The first three numbers are 1, 2, 3
The only derangement possible are - 231 and 312
Now,
The remaining elements 4, 5, 6 are the 4th, 5th and 6th number in the derangement
Now,
In order for the permutation of the derangement, the only possibility for 123 are 564 and 645
∴ we get
The Total derangement are -
231564
231645
312564
312645
So,
Total derangement = 4
First, you need to find how much money the tax was (98.90-92=6.9) Then, divide the tax by the price without the tax to find the tax rate (6.9/92=.075) then multiply the answer by 100 (.075*100=7.5)The tax rate is 7.5%
Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
