B: The Probability is 16%
C: Yes, Liking Diet soda isn't caused by liking a hamburger so therefor they would be independent events. One does not effect the other is another way to look at it.
Hope this helps! (P.S. Please mark as Brainliest ;))
192 pints are in 24 gallons of juice
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Answer: 
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Given: 
Find: 
Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.
<u>Plug in the values</u>
<u>Simplify</u>
As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.
Differentiate both sides wrt 
:
By the chain rule, we get
Solve for 
:
Answer:
<u>A. Nicholas will have to pay less using plan A</u>
<u>B. He will pay US$ 4 less than plan B</u>
Step-by-step explanation:
Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.
Plan A
Up to 10 hours = US$ 6
Every subsequent 1/2 hour: $1
10 hours + 14 (1/2 hour)
<u>Nicholas will pay 6 + 14 * 1 = US$ 20</u>
Plan B
Up to 12 hours = US$ 4
Every subsequent 1/2 hour: $2
12 hours + 10 (1/2 hour)
<u>Nicholas will pay 4 + 2 * 10 = 24</u>
