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2 years ago

Find the length of the unknown side. Round your answer to the nearest tenth. 20 m 12 m b

Mathematics

1 answer:

stepladder [879]2 years ago

4 0

The length of the unknown side is 16 meters

<h3>What is a right triangle?</h3>

A right triangle is a triangle that has one of its angles to be 90 degrees

The length of the unknown side is calculated using the following Pythagoras theorem.

$20^2 = 12^2 +b^2$

Evaluate the exponents

$400 = 144 +b^2$

Collect like terms

$b^2 = 400 -144$

Evaluate the like terms

$b^2 = 256$

Take the square root of both sides

$b = 16$

Hence, the length of the unknown side is 16 meters

Read more about Pythagoras theorem at:

brainly.com/question/654982

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Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

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2 years ago

Which equation represents a line that is perpendicular to the line y= 1/4x - 1

kirill [66]

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3 years ago

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3 years ago

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Step-by-step explanation:

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800 × 4.5% = 36

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2 years ago

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Lady_Fox [76]

Answer:

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Step-by-step explanation:

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