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3 years ago

Q5 Q9.) Let theta be an angle in standard position. Name the quadrant in which theta lies

Mathematics

2 answers:

Juliette [100K]3 years ago

7 0

Sine is positive while cotangent is negative. So this must mean cosine is negative since cos/sin = cot. In other words, cotangent is the ratio of cosine over sine.

Because cosine is negative and sine is positive, this places theta in quadrant 2
This is where x < 0 and y > 0. Recall that on the unit circle, x = cos(theta) and y = sin(theta).

The answer is choice B) quadrant II

marta [7]3 years ago

3 0

Sin $\theta$ > 0 so it can only be I or II
cot $\theta$ < 0 so it can only be II or IV
combining, ans is II

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(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

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$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

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$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

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Correct option is C.

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Step-by-step explanation:

Hi to answer this question we have to write a proportion

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