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Katyanochek1 [597]
3 years ago
12

Becky needs to transfer liquid to a vase using a cylindrical container with a radius of 5 centimeters and a height of 10 centime

ters. The vase has a volume of 2,800 cubic centimeters, and she will fill the vase to 75% capacity. Becky will completely fill the container each time it is used to fill the vase. How many times will Becky need to fill the container to fill the vase to 75% capacity?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

Becky needs approximately 3 containers to fil the vase up to 75%.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container as shown below:

volume = pi*r²*h = pi*5²*10 = 250*pi = 785 cm³

Since becky wants to fill 75% of the vase capacity, she needs to fill:

goal = 2800*75/100 = 2100 cm³

Therefore Becky needs a total of

containers =  goal/volume

containers = 2100/785 = 2.67

Becky needs approximately 3 containers to fil the vase up to 75%.

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The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F
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Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

\frac{(1 -0.99)}{2}=0.005

By standard normal table z=2.5758≈2.58

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n=\frac{z^2pq}{e^2}

Where,  e is the margin of error,

Substitute the respective values.

n=\frac{(2.58)^2(0.133)(0.867)}{(0.02)^2}=1918.89

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