Answer:
Step-by-step explanation:
In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model. Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).
The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.
Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.
However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.
Hence, various measures like either goodness of fit or theory testing, would be used for this.
Answer:
16 dimes
Step-by-step explanation:
He already has 7, and got 9 more, so we can add 7 and 9
7+9 =16
So, Dan has 16 dimes now
Hope this helps! :)
Answer:
Part of work left to finish after two work hours is 7/20
Step-by-step explanation:
Firstly, we need to calculate their joint work rate
That will be;
1/(1/5 + 1/8) = 1/(13/40) = 40/13
This means that they will complete the task in 40/13 hours
1 whole part takes 40/13
x part will take 2 hours
x * 40/13 = 2
40x = 26
x = 26/40
So the part that will be completed in two hours is 26/40
This means that the part left to complete will be:
1 - 26/40 = 14/40 = 7/20
Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute
in the equation
the equality is true.
Let's substitute first in the right hand side:

Now we use the distributive laws. Also, note that
(this also works when the power is n-2).



then the sequence solves the recurrence relation.