Answer:
B
Step-by-step explanation:
The first quartile of his data is 60.
The median of his data is 82.
The first quartile Q1 is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.
The median Q2 is the median of the data set. This means that about 50% of the numbers in the data set lie below Q2 and about 50% lie above Q2.
Between Q1 and Q2 lie exactly 25% of the numbers in the data set.
25% of 200 is exactly 50, so option B is true.
Answer:
X= 5/12 + 1/24y
Y= -10 + 29x
Step-by-step explanation:
2(10- 24x)+ 2y 2(10- 24x)+ 2y
20 - 48x +2y 20 - 48x +2y
48x =20 +2y -2y = 20- 48x
/48 /48 /48 /-2 /-2 /-2
x= 5/12 + 1/24y y= -10 +29x
Answer:
neither
geometric progression
arithmetic progression
Step-by-step explanation:
Given:
sequences: ![-1,4,-7,10,...](https://tex.z-dn.net/?f=-1%2C4%2C-7%2C10%2C...)
![192,24,3,\frac{3}{8},...](https://tex.z-dn.net/?f=192%2C24%2C3%2C%5Cfrac%7B3%7D%7B8%7D%2C...)
![-25,-18,-11,-4,...](https://tex.z-dn.net/?f=-25%2C-18%2C-11%2C-4%2C...)
To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them
Solution:
A sequence forms an arithmetic progression if difference between terms remain same.
A sequence forms a geometric progression if ratio of the consecutive terms is same.
For
:
![4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)](https://tex.z-dn.net/?f=4-%28-1%29%3D5%5C%5C-7-4%3D-11%5C%5C10-%28-7%29%3D17%5C%5CSo%2C%5C%2C%5C%2C4-%28-1%29%5Cneq%20-7-4%5Cneq%2010-%28-7%29)
Hence,the given sequence does not form an arithmetic progression.
![\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B-1%7D%3D-4%5C%5C%5Cfrac%7B-7%7D%7B4%7D%3D%5Cfrac%7B-7%7D%7B4%7D%5C%5C%5Cfrac%7B10%7D%7B-7%7D%3D%5Cfrac%7B-10%7D%7B7%7D%5C%5CSo%2C%5C%2C%5C%2C%5Cfrac%7B4%7D%7B-1%7D%5Cneq%20%5Cfrac%7B-7%7D%7B4%7D%5Cneq%20%5Cfrac%7B10%7D%7B-7%7D)
Hence,the given sequence does not form a geometric progression.
So,
is neither an arithmetic progression nor a geometric progression.
For
:
![\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B192%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5C%5Cfrac%7B3%7D%7B24%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5C%5Cfrac%7B%5Cfrac%7B3%7D%7B8%7D%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5CSo%2C%5C%2C%5C%2C%5Cfrac%7B24%7D%7B192%7D%3D%5Cfrac%7B3%7D%7B24%7D%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B8%7D%7D%7B3%7D)
As ratio of the consecutive terms is same, the sequence forms a geometric progression.
For
:
![-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)](https://tex.z-dn.net/?f=-18-%28-25%29%3D-18%2B25%3D7%5C%5C-11-%28-18%29%3D-11%2B18%3D7%5C%5C-4-%28-11%29%3D-4%2B11%3D7%5C%5CSo%2C%5C%2C%5C%2C-18-%28-25%29%3D-11-%28-18%29%3D-4-%28-11%29)
As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.
Answer:
7/5
Step-by-step explanation:
reciprocal means flip the equation