The data points that fall within the mean absolute deviation are 2.9 and 3.1.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation is the mean average distance between every data point and the mean of the data set.
From the information given:
- Mean of the data set = 5.3
- Mean absolute deviation = 2
The mean absolute deviation is:
= (|5.3 - 2|)/1
= 3.3
Thus, the data points that fall within the mean absolute deviation are 2.9 and 3.1.
Learn more about mean absolute deviation here:
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6 pennies, 4 nickels, 1 quarter, and 7 dimes is a total of 18 coins. Out of those 18 coins, dimes and nickels make up 11 of them.
So the probability that you pick a dime or nickel is 11/18 or about 61.11%.
When putting numbers into scientific notation, always put the decimal after the ones place. In this case, you would put the decimal after 4 and before 5 (in between). From there, you count how many decimal places you moved in order to change it into that form.
0.45013 would change to 4.5013 and you would have to multiply it by 10 to the negative power of 1 (you're only moving back one place).
4.5013 x 10^-1
Hope this helps :)
<h2>
Answer:</h2>
Hence, the answer is:
13860
<h2>
Step-by-step explanation:</h2>
Sally has 6 red flags, 4 green flags, and 2 white flags.
i.e. there are a total of 12 flags.
Now, we are asked to find the different number of arrangements that may be made with the help of these 12-flags.
We need to use the method of permutation in order to find the different number of arrangements.
The rule is used as follows:
If we need to arrange n items such that there are
number of items of one type,
items same of other type .
Then the number of ways of arranging them is:
![=\dfrac{n!}{n_1!\cdot n_2!}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bn%21%7D%7Bn_1%21%5Ccdot%20n_2%21%7D)
Hence, here the number of ways of forming a flag signal is:
![=\dfrac{12!}{6!\times 4!\times 2!}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B12%21%7D%7B6%21%5Ctimes%204%21%5Ctimes%202%21%7D)
( since 6 flags are of same color i.e. red , 4 flags are of green color and 2 are of white colors )
![=\dfrac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6!\times 4!\times 2!}\\\\\\=\dfrac{12\times 11\times 10\times 9\times 8\times 7}{4\times 3\times 2\times 2}\\\\=13860](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes%207%5Ctimes%206%21%7D%7B6%21%5Ctimes%204%21%5Ctimes%202%21%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes%207%7D%7B4%5Ctimes%203%5Ctimes%202%5Ctimes%202%7D%5C%5C%5C%5C%3D13860)