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marta [7]
2 years ago
10

A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fas

t food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week. a) Would the 3000 people constitute a census or a sample? b) Was the data qualitative or quantitative?
Mathematics
1 answer:
Vaselesa [24]2 years ago
8 0

Answer: a) sample

b) quantitive.

Step-by-step explanation:

Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.

Here, population  = "people who ate fast food two or more times per week"

Since a census is the data of all members in a population whereas a sample is a subset of it.

Then, 3000 people constitute a sample as it is a subset of the population.

Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.

So, the data is quantitative.

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We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta

\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0

\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

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Hence:

\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
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2 years ago
If felicity plays 805 games and started in 569 of them in what fraction of the games did he start
slega [8]

Answer:

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Step-by-step explanation:

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The answer was a 6 cups
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charle [14.2K]
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