3.88888=3.88888/1=38.8888888
so lets ssay our repeating decimal = a fraction x
x=3.888 is true
multiply by 10
10x=38.8888
now subtract fir frist eqation from second
10x-x=38.8888-3.888888
9x=35
divide both sides by 9
x=35/9
x=3 and 7/9
anser is 3.88=3 and 7/9
Answer: 
Step-by-step explanation:
Given : Sample size : n= 36 , which is a large sample (n>30) so the test applied here is z-test.
Significance level : 
Using Standard normal table , Critical value : 
Sample mean : 
Standard deviation: 
The confidence interval for population means is given by :-

i.e.

Hence, the 95 percent confidence interval for the fill rate = 
Answer:
254,251,200
Step-by-step explanation:
This is a combination question, since the order doesn't matter, the formula for combinations is n!/(n-r)! n is the amount of things we can choose from but r is the amount of things (employees in this case) we actually select. n = 50 and r = 5. This we get 50!/(50-5)! or 50!/45!, using a calculator, we can find that 50!/45! is equal to 254,251,200. That is our final answer for the amount of combinations available.
Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,

Thus, 0.006 is the probability that the record will be broken in next year.
Answer: There is no correlation.
Step-by-step explanation: