Answer:
(-1/2,-5/2)
Step-by-step explanation:
x-y = 2
x+y = -3
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Through Elimination, we can just add the system of equations. The y cancels out and gives us the single equation for x:
2x = -1
x = -1/2
Substitute -1/2 for x in either equation and you get:
(-1/2) + y = -3 Solve for y
y = -5/2
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Answer:
240.625 is full value. you can use sigfigs if you need.
Area is (pi)(r)^2 so (22/7)(8.75)^2
half diameter is radius
Answer:
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .
Step-by-step explanation:
Given -
The sample size is large then we can use central limit theorem
n = 50 ,
Standard deviation
= 7.1
Mean 
= 110
1 - confidence interval = 1 - .98 = .02
= 2.33
98% confidence interval for the mean caffeine content for cups dispensed by the machine = 
= 
= 
First we take + sign
= 112.34
now we take - sign
= 107.66
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .
Answer: 200 kcal
SOLUTION
Given,
A bottle of drink has four eight-ounce (1-cup) servings per
bottle.
There are 50 kcal per cup
Amount of kcal per bottle = ?
1 bottle = 4 cups
1 cup = 50 kcal
1 bottle = 4 cups = 4 x 50 kcal
1 bottle = 4 cups = 200 kcal
Therefore, there are 200 kcal in the whole bottle
Answer:
F' is at (8, -10)
Step-by-step explanation:
clockwise or counter-clockwise do not matter when the rotation is 180°
