4 years ago

Find the value of the variables. If your answer is an integer, leave it in simplest radical form.

Mathematics

2 answers:

dangina [55]4 years ago

8 0

It's the triangle 30 - 60 - 90. The lengths of a side are in proportion 1 : √3 : 2.

$2y=20\sqrt3\ \ \ \ |:2\\\\y=10\sqrt3\\\\x=y\sqrt3\to x=10\sqrt3\cdot\sqrt3=10\cdot3=30$

<h3>Answer: x = 30, y = 10√3</h3>

ollegr [7]4 years ago

3 0

Answer:d the last one

Step-by-step explanation:

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Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

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How do you work out px+py=a?

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