Answer: 11/20
Step-by-step explanation:
55/100
= 11/20
common denominator of 55? wdym. like the bottom number 55?
A stem and leaf plot (histogram) shows the mode as the longest list of "leaves." It is the easiest to use for finding mode.
A box-and-whisker plot tells you nothing about relative frequencies.
A scatter plot or line graph would require careful re-interpretation to determine the mode. If the amount of data is large and there are many data values with about the same high frequency, these charts may be unhelpful, too.
Answer:
28.9
Step-by-step explanation:
The range is: B. {12, 4, -6}
Step-by-step explanation:
Given
12x + 6y = 24
Here x is the input and y is the output
So,
Replacing y with f(x)
![12x +6f(x) = 24\\6f(x) = 24 - 12x\\\frac{6f(x)}{6} = \frac{24-12x}{6}\\f(x) = \frac{24-12x}{6}](https://tex.z-dn.net/?f=12x%20%2B6f%28x%29%20%3D%2024%5C%5C6f%28x%29%20%3D%2024%20-%2012x%5C%5C%5Cfrac%7B6f%28x%29%7D%7B6%7D%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D%5C%5Cf%28x%29%20%3D%20%5Cfrac%7B24-12x%7D%7B6%7D)
Domain = {-4, 0, 5},
We will put the elements of domain, one by one, to find range
![f(-4) = \frac{24-12(-4)}{6}\\=\frac{24+48}{6}\\= \frac{72}{6}\\=12\\\\f(0) = \frac{24-12(0)}{6}\\=\frac{24}{6}\\= 4\\\\f(5) = \frac{24-12(5)}{6}\\=\frac{24-60}{6}\\=\frac{-36}{6}\\=-6](https://tex.z-dn.net/?f=f%28-4%29%20%3D%20%5Cfrac%7B24-12%28-4%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%2B48%7D%7B6%7D%5C%5C%3D%20%5Cfrac%7B72%7D%7B6%7D%5C%5C%3D12%5C%5C%5C%5Cf%280%29%20%3D%20%5Cfrac%7B24-12%280%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24%7D%7B6%7D%5C%5C%3D%204%5C%5C%5C%5Cf%285%29%20%3D%20%5Cfrac%7B24-12%285%29%7D%7B6%7D%5C%5C%3D%5Cfrac%7B24-60%7D%7B6%7D%5C%5C%3D%5Cfrac%7B-36%7D%7B6%7D%5C%5C%3D-6)
Hence,
The range is: B. {12, 4, -6}
Keywords: Range, Domain, functions
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This question is incomplete, here is the complete question
What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?
The recursive formula for this geometric sequence is:
= 2;
= (-5) • ![a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn-1%7D)
Step-by-step explanation:
To find the recursive formula for a geometric sequence:
- Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
- Find the common ratio. (The number you multiply or divide.)
- Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.
The recursive formula is:
= first term;
= r •
, where
is the first term in the sequence
is the term before the nth term - r is the common ratio
∵ The geometric sequence is 2 , -10 , 50 , -250
∴
= 2
- To find r divide the 2nd term by the first term
∵ ![r=\frac{a_{2}}{a_{1}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_%7B2%7D%7D%7Ba_%7B1%7D%7D)
∴ ![r=\frac{-10}{2}=-5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-10%7D%7B2%7D%3D-5)
- Substitute the values of
and r in the formula above
∴
= 2;
= (-5) • ![a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn-1%7D)
The recursive formula for this geometric sequence is:
= 2;
= (-5) • ![a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn-1%7D)
Learn more:
You can learn more about the geometric sequence in brainly.com/question/1522572
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