Put the numbers in order
2,3,3,3,4,6,7,9.....the range is the largest number minus the smallest number
so as it is, the range is (9 - 2) = 7
if u replaced the 7 with a 6...
2,3,3,3,4,6,6,9...the range is STILL (9 - 2) = 7
1/3 because only 1 and 2 is less than 3 out of the 6 numbers. 2/6 = 1/3.
Answer: labor force participation rate =60%
unemployment rate = 6.67%
Step-by-step explanation:
The labor force participation rate is computed as
![\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}](https://tex.z-dn.net/?f=%5Ctext%7Blabor%20force%20participation%20rate%7D%3D%5Cdfrac%7B%5Ctext%7BTotal%20employed%20persons%7D%7D%7B%5Ctext%7BTotal%20population%7D%7D)
i.e. ![\text{labor force participation rate}= \dfrac{72000}{120000}](https://tex.z-dn.net/?f=%5Ctext%7Blabor%20force%20participation%20rate%7D%3D%20%5Cdfrac%7B72000%7D%7B120000%7D)
![= 0.6\ or\ 60 \%](https://tex.z-dn.net/?f=%3D%200.6%5C%20or%5C%2060%20%5C%25)
The unemployment rate is computed as:
![\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%](https://tex.z-dn.net/?f=%5Ctext%7Bunemployment%20rate%7D%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20personsdon%27t%20have%20jobs%20%7D%7D%7B%5Ctext%7BTotal%20population%7D%7D%5C%5C%5C%5C%5Ctext%7Bunemployment%20rate%7D%3D%5Cdfrac%7B8000%7D%7B120000%7D%5C%5C%5C%5C%5Ctext%7Bunemployment%20rate%7D%3D0.0667%5C%20or%5C%206.67%5C%25)
Hence, labor force participation rate =60%
unemployment rate = 6.67%
Equal angles are usually called ''alternate angles''.
Answer: The age of the twins is 10 years.
Step-by-step explanation:
Suppose the age of older sister be x
Let the age of twins sister be x-9, as they are born after 9 years.
Product of their ages be
![x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x](https://tex.z-dn.net/?f=x%28x-9%29%28x-9%29%5C%5C%5C%5C%3Dx%28x%5E2-18x%2B81%29%5C%5C%5C%5C%3Dx%5E3-18x%5E2%2B81x)
Sum of their ages will be
![x+x-9+x-9\\\\=3x-18](https://tex.z-dn.net/?f=x%2Bx-9%2Bx-9%5C%5C%5C%5C%3D3x-18)
According to question,
![1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19](https://tex.z-dn.net/?f=1861%2B3x-18%3Dx%5E3-18x%5E2%2B81x%5C%5C%5C%5Cx%5E3-18x%5E2%2B81x-3x%2B18-1861%3D0%5C%5C%5C%5Cx%5E3-18x%5E2%2B78x-1843%3D0%5C%5C%5C%5Cx%3D19)
So, Age of older sister will be 19 years.
Age of the twins will be
![19-9=10\ years](https://tex.z-dn.net/?f=19-9%3D10%5C%20years)
Hence, the age of the twins is 10 years.