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castortr0y [4]
3 years ago
11

If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ? (2 points)

Mathematics
1 answer:
seropon [69]3 years ago
5 0
I accept that θ in second quadrant, therefore sinθ > 0, cosθ < 0 and tanθ < 0.

\cos\theta=-\dfrac{4}{7}\\\\We\ know:\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\to\sin x=\sqrt{1-\cos^2x}\\\\subtitute:\\\\\sin x=\sqrt{1-\left(-\dfrac{4}{7}\right)^2}=\sqrt{1-\dfrac{16}{49}}=\sqrt{\dfrac{33}{49}}=\dfrac{\sqrt{33}}{7}

We\ know:\tan x=\dfrac{\sin x}{\cos x}\\\\subtitute:\\\\\tan x=\dfrac{\sqrt{33}}{7}:\left(-\dfrac{4}{7}\right)=-\dfrac{\sqrt{33}}{7}\cdot\dfrac{7}{4}=-\dfrac{\sqrt{33}}{4}
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Answer:

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Step-by-step explanation:

Let's explain on why the others are not,

A. Descriptive statistics is a characteristic or property of an individual experimental unit. Inferential statistics is the process used to assign numbers to variables of individual population units.

Descriptive statistics needs a set of data, not just an individual experimental unit, since it uses statistical methods like tendency, mean, median, mode, dispersion ranges, deviation, etc. That cannot be gathered from an individual set unit. In the same way, Inferential statistics, is about using a sample of data to infer, as the name says, behavior of larger groups, it doesn't assign numbers or variables, it studies behavior of samples, that being said, a variable might be "assigned" by testing an hypothesis, yet not from an unit, but from a set.

C. Descriptive statistics draws conclusions about the sets of data based on sampling. Inferential statistics summarizes the information revealed in data sets.

It is the complete oposite, Descriptive Statistics (DS), studies data to represent numerical analysis in charts and graphs, but not samples. While Inferential Statistics (IS), is about samples, and how they COULD represent a larger group.

D. Descriptive statistics are measurements that are recorded on a naturally occurring numerical scale. Inferential statistics are measurements that cannot be measured on a natural number​ scale; they can only be classified into one of a group of categories.

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5 0
3 years ago
A bag contains 5 yellow marbles and 10 blue marbles. If a representative sample contains 2 yellow ​marbles, then how many blue m
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Answer:

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Step-by-step explanation:

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3 years ago
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nlexa [21]

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