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3 years ago

A gym is investigating which paper cups to use for its water fountain. Which best compares the volumes of cup A and cup B?

Mathematics

1 answer:

inn [45]3 years ago

5 0

Answer:

d) volume of A is half volume of B

Step-by-step explanation:

The question is incomplete without the diagram of the paper cups to be used for the water fountain.

Find attached the complete question which has the diagram that would be used to answer the question.

To determine the answer, let's check the options provided.

a) volume of A and B are equal

The shape is a cone.

Volume of cone = (1/3)(π × r^2 ×h)

For cone A:

Radius = r, height = 2r

Volume of A = (1/3)(π × r^2 × 2r)

Volume of A = (2/3)(π × r^3)

For cone B:

Radius = 2r, height = r

Volume of B = (1/3)(π × (2r)^2 × r)

= (1/3)(π ×4 ×r^2 ×r)

Volume of B = 4/3(π × r^3)

Volume of B = 2(2/3)(π × r^3)

Volume of B = 2×Volume of A

Therefore option A is wrong

b) volume of B is half volume of A

Option B is wrong

c) volume of B is 4 times volume of A

Option C is wrong

d) volume of A is half volume of B

Volume of B = 2×Volume of A

1/2(Volume of B)= Volume of A

Option D is correct

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k0ka [10]

Answer:

13.9

Step-by-step explanation:

Use the Pythagorean Theorem

x=13.85 round to the nearest tenth 13.9

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3 years ago

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Tamiku [17]

Answer:

Below.

Step-by-step explanation:

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3 years ago

Choose yes or no to tell whether each of the following describes a convenience sampling method

MA_775_DIABLO [31]

No, this is systematic sampling. Systematic sampling is where you use a specifically well defined rule to generate your sample. In this case, that rule is "pick every 4th customer". In other words, if the customer number is a multiple of 4, then they are selected.
No, this is simple random sampling (SRS). Each school is assigned a number, and those numbers are fed into a computer to generate a list of schools to form the sample. A random number table can also be used. When comparing to systematic sampling, SRS in my opinion is the stronger sampling method in that we get a better representative sample. Consider a case where on some unlucky circumstance that every 4th customer happens to be male (refer to problem 1). That would mean males are over-represented while females are completely under-represented. This example, while a bit extreme, shows a flaw in systematic sampling. So in short, it's best to use SRS if you could only pick one.
Yes, this is convenience sampling. As the name strongly implies, convenience sampling is the easiest or most convenient way to select a sample. Sheila simply looked to her left and right to get the sample points she needed. While it's tempting to use this method due to its ease, it's probably very clear that this method can be heavily biased. She should employ SRS to get a better representative sample.
Yes, this is convenience sampling. For the quality control manager, the easiest most convenient ladders he found were the first five closest to him. Those five ladders may or may not be representative of the population. The population being the set of all ladders in the shop. If those ladders don't break, then the manager may get the wrong conclusion that all if not most of the ladders won't break. However, his sample is not representative and there may be bad faulty ladders in the shop somewhere. He should do a SRS to address this problem. Perhaps even a cluster sample where he breaks the shop's floor area into various chunks and does random sampling based on that. A cluster sample is useful because some areas of the shop may be better or worse off compared to others. Eg: if there's a leak in the roof in one spot, or if there's more moisture, then that cluster is different from the rest that don't have such issues.

In short, we have these answers in this exact order: No, No, Yes, Yes.

5 0

3 years ago

A composition of transformations maps ΔKLM to ΔK"L"M".

vlabodo [156]

The blank space in the task content should be filled with; a 270° rotation about point P.

<h3>What transformation is first to effect the image formation?</h3>

It follows from the transformation described in the task content that; Triangle KLM from which triangle K'L'M' is rotated 270 degrees about point P and then translated down and to the right.

It therefore follows from observation. that the first transformation is; a 270° rotation about point P.