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2 years ago

The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?

Mathematics

1 answer:

Zarrin [17]2 years ago

6 0

Answer:

$\frac{\sqrt{2} }{2}$

Step-by-step explanation:

To find the value of sin 45° we divide the opposite side length with hypotenuse

$\frac{1}{\sqrt{2} }$ we then multiply this by $\sqrt{2}$ because denominator cannot be irrational

$\frac{1}{\sqrt{2} }$ x $\sqrt{2}$ = $\frac{\sqrt{2} }{2}$ gg

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3 years ago

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh

mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

$H_0: p \leq 0.4$

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

$H_1: p > 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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This means that $p = 0.4, \sigma = \sqrt{0.4*0.6}$

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This means that:

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Thus the correct answer is given by option a.

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3 years ago