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3 years ago

How would I find the values of the variables?

Mathematics

1 answer:

Ede4ka [16]3 years ago

4 0

$x^o\ and\ 3y^o\ are\ Corresponding\ Angles.\\\\Corresponding\ Angles\ are\ equal. Therefore\ we\ have\ equation:\\\\x^o=3y^o\ and\ x^o+y^o=180^o$

$Substitute:\\\\3y^o+y^o=180^o\\\\4y^o=180^o\ \ \ \ |:4\\\\y^o=45^o\\\\x^o=3\cdot45^o=135^o$

<h3>Answer: x° = 135° and y° = 45°</h3>

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Strike441 [17]

The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

Sample size, n = 100
Population proportion, p = 82%

Start by calculating the mean:

$\mu = np$

$\mu = 100 * 82\%$

$\mu = 82$

Calculate the standard deviation:

$\sigma = \sqrt{\mu(1 - p)$

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Within ± 0.02 of the population proportion are:

$x_{min} = 82 * (1 - 0.02) = 80.38$

$x_{max} = 82 * (1 + 0.02) = 83.64$

Calculate the z-scores at these points using:

$z = \frac{x - \mu}{\sigma}$

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$z_2 = \frac{83.64 - 82}{3.84} = 0.43$

The probability is then represented as:

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Using the z table of probabilities, we have:

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Read more about probability at:

brainly.com/question/25870256

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, here we go there your answer hope it will helpful

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