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3 years ago

Please HELP Will CROWN BRAINLIEST!!!!!!!!!!!!! 20PTS

Mathematics

1 answer:

Sladkaya [172]3 years ago

4 0

2, sin( θ )=6/12=1/2 => theta=30 degrees.
=> triangle is 30-60-90

3.
Cos(45)=sqrt(2)/2
=> x=10*sqrt(2)/2=5sqrt(2)

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WhAts the answer to 5?

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Angle P is 3 more than twice angle M. If the two angles are complementary, find the measure of the two angles.

kotegsom [21]

Answer:

29° and 61°

Step-by-step explanation:

Complementary angles sum up to 90°

Given

P + M = 90°
P = 2M + 3°

Substituting P in the first equation

2M + 3° + M = 90°
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Then

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Y= -4x + 10? What is the slope of the line?

Salsk061 [2.6K]

Answer:

-4 or -4/1

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3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

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3 years ago

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The answer is 12, Good luck!

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