Answer: 2 cups
Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.
Set those two equations equal to each other.
Isolate x.
Solve for x.
Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, = 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Note: The volume of a cylinder is:
radius² × π × height
First lets work out the volume of Cylinder A:
Volume = 1² × π × 4
= 4π m³
Now lets work out the volume of Cylinder B
Volume = 2² × π × 4
= 16π m³
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Now lets compare the volumes ( Cylinder A : Cylinder B) :
4π : 16π
Lets simplify this by dividing both sides by 4π:
4π : 16π <em>( </em>÷ <em>4π)</em>
----> 1 : 4
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Answer:
Option b) 1 : 4
The answer is B) real numbers from 0-8
The answer choice is C, because the problem is asking for the outcome of either one of the answers. Then you just add them together and the answer is 0.5+0.3=0.8. Hope this helped!