You will need 119 cups to sell all of the lemonade.
Step-by-step explanation:
Given, 
Diameter of cups = 9 cm 
Radius of cup = 
Height of cups = 12 cm 
We will find volume of cup.

Putting all the values 

Therefore; 
Each cup can hold 254.34 cubed centimeter of lemonade.
Number of gallons = 8 
1 gallon = 3785 cm³
8 gallons = 3785*8 = 30280 cm³
Let, 
x = Number of cups 
Volume of lemonade in one cup * Number of cups = Volume of 8 gallons 
254.34x=30280
Dividing both sides by 254.34

Rounding off to nearest whole number 
x = 119 
You will need 119 cups to sell all of the lemonade.
Keywords: volume, division 
Learn more about volume at:
#LearnwithBrainly
 
        
             
        
        
        
1 x 9, 3 x 3, 9 x 1
1 and 9 are a factor pair of 9 since 1 x 9= 9
3 and 3 are a factor pair of 9 since 3 x 3= 9
9 and 1 are a factor pair of 9 since 9 x 1= 9
 
        
        
        
Answer:
x > -2
Step-by-step explanation:
Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.

x > -2
 
        
             
        
        
        
Answer:
a) 7.79%
b) 67.03%
c) Cumulative Distribution Function
 
Step-by-step explanation:
We are given the following in the question:

where x is the duration of a call, in minutes.
a) P( calls last between 2 and 3 minutes)
![=\displaystyle\int^3_2 p(x)~ dx\\\\= \displaystyle\int^3_20.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^3_2\\\\=-\Big[e^{-0.3}-e^{-0.2}\Big]\\\\= 0.0779\\=7.79\%](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint%5E3_2%20p%28x%29~%20dx%5C%5C%5C%5C%3D%20%5Cdisplaystyle%5Cint%5E3_20.1e%5E%7B-0.1x%7D~dx%5C%5C%5C%5C%3D%5CBig%5B-e%5E%7B-0.1x%7D%5CBig%5D%5E3_2%5C%5C%5C%5C%3D-%5CBig%5Be%5E%7B-0.3%7D-e%5E%7B-0.2%7D%5CBig%5D%5C%5C%5C%5C%3D%200.0779%5C%5C%3D7.79%5C%25)
b) P(calls last 4 minutes or more)
![=\displaystyle\int^{\infty}_4 p(x)~ dx\\\\= \displaystyle\int^{\infty}_40.1e^{-0.1x}~dx\\\\=\Big[-e^{-0.1x}\Big]^{\infty}_4\\\\=-\Big[e^{\infty}-e^{-0.4}\Big]\\\\=-(0- 0.6703)\\= 0.6703\\=67.03\%](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_4%20p%28x%29~%20dx%5C%5C%5C%5C%3D%20%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_40.1e%5E%7B-0.1x%7D~dx%5C%5C%5C%5C%3D%5CBig%5B-e%5E%7B-0.1x%7D%5CBig%5D%5E%7B%5Cinfty%7D_4%5C%5C%5C%5C%3D-%5CBig%5Be%5E%7B%5Cinfty%7D-e%5E%7B-0.4%7D%5CBig%5D%5C%5C%5C%5C%3D-%280-%090.6703%29%5C%5C%3D%200.6703%5C%5C%3D67.03%5C%25)
c) cumulative distribution function

 
        
             
        
        
        
Answer:....
Step-by-step explanation: