Answer: number 1
Step-by-step explanation:
That is how you would write the ratio word for word.
- hope this helped!
The missing reason is (d) Add the fractions together on the right side of the equation
<h3>How to complete the missing reason?</h3>
From the statements, we have the following equation:
x^2 + b/a x + (b/2a)^2 = -4ac/4a^2 + b^2/4a^2
Next, we add the fractions on the right-hand side of the equation.
This gives
x^2 + b/a x + (b/2a)^2 = [-4ac + b^2]/4a^2
The above means that the last statement is gotten by adding the fractions on the right-hand side of the equation.
Hence, the missing reason is (d) Add the fractions together on the right side of the equation
Read more about quadratic equations at:
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Answer:
The IQR is given by:
![IQR = Q_3 -Q_1 = 28-18= 10](https://tex.z-dn.net/?f=%20IQR%20%3D%20Q_3%20-Q_1%20%3D%2028-18%3D%2010)
If we want to find any possible outliers we can use the following formulas for the limits:
![Lower= Q_1 - 1.5 IQR](https://tex.z-dn.net/?f=Lower%3D%20Q_1%20-%201.5%20IQR)
![Upper= Q_3 + 1.5 IQR](https://tex.z-dn.net/?f=Upper%3D%20Q_3%20%2B%201.5%20IQR)
And if we find the lower limt we got:
![Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3](https://tex.z-dn.net/?f=Lower%3D%20Q_1%20-%201.5%20IQR%3D%2018-1.5%2A10%20%3D%203)
![Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43](https://tex.z-dn.net/?f=Upper%3D%20Q_3%20%2B%201.5%20IQR%3D%2028%2B1.5%2A10%3D%2043)
So then the left boundary for this case would be 3 days
Step-by-step explanation:
For this case we have the following 5 number summary from the data of 144 values:
Minimum: 9 days
Q1: 18 days
Median: 21 days
Q3: 28 days
Maximum: 56 days
The IQR is given by:
![IQR = Q_3 -Q_1 = 28-18= 10](https://tex.z-dn.net/?f=%20IQR%20%3D%20Q_3%20-Q_1%20%3D%2028-18%3D%2010)
If we want to find any possible outliers we can use the following formulas for the limits:
![Lower= Q_1 - 1.5 IQR](https://tex.z-dn.net/?f=Lower%3D%20Q_1%20-%201.5%20IQR)
![Upper= Q_3 + 1.5 IQR](https://tex.z-dn.net/?f=Upper%3D%20Q_3%20%2B%201.5%20IQR)
And if we find the lower limt we got:
![Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3](https://tex.z-dn.net/?f=Lower%3D%20Q_1%20-%201.5%20IQR%3D%2018-1.5%2A10%20%3D%203)
![Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43](https://tex.z-dn.net/?f=Upper%3D%20Q_3%20%2B%201.5%20IQR%3D%2028%2B1.5%2A10%3D%2043)
So then the left boundary for this case would be 3 days