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Leokris [45]
2 years ago
9

Special right triangle

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0

Answer:

Step-by-step explanation:

6) taking 45 degrees as the reference angle,

the adjacent side is √6

The opposite side is x

The hypotenuse is y

Therefore, we would apply trigonometric ratio.

Tan # = opposite side / adjacent side

Tan 45 = x/√6

1 = x/√6

x = 1 × √6 = √6

Cos # = adjacent side/hypotenuse

Cos 45 = √6/y

Cos 45 expressed in surd form is √2/2. Therefore,

√2/2 = √6/y

y √2 = 2√6

y = (2√6)/√2

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Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < \hat{p} < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

Where:

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CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}

Which gives;

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Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < \hat{p} < 0.314695

From the above we have;

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4 0
2 years ago
Which of the following represents x =1/3y written in general form?
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