Answer:
Step-by-step explanation:
To write the factored form, multiply a*c from the standard form . Here it is 4*1 = 4.
Then find factors of 4 that add to b=-4.
4: 1,2,4
-2+-2 = -4
Split the middle term into -2x+-2x and factor by grouping.
There are 12 different pizza toppings, and Arturo must rank his top 6 in order. How many different possible rankings are there?
1 answer:
The first ranking can take 12 ways.
The second ranking can take 12 - 1 = 11 ways
The third ranking can take 12 - 2 = 10 ways
and so until the six rankings are performed.
The product of the six rankings is
12*11*10*9*8*7 = 665,280.
This result is given by the permutations of 6 objects out of 12. It is given by
which yields the same result.
Answer: 665,280
The second ranking can take 12 - 1 = 11 ways
The third ranking can take 12 - 2 = 10 ways
and so until the six rankings are performed.
The product of the six rankings is
12*11*10*9*8*7 = 665,280.
This result is given by the permutations of 6 objects out of 12. It is given by
which yields the same result.
Answer: 665,280
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Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128
Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02