Trapezoid A B C D is shown. Diagonals are drawn from point B to point D and from point A to point C and intersect at point E.

Mathematics

1 answer:

zmey [24]3 years ago

3 0

BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD

<h3>Isosceles trapezoid</h3>

An isosceles trapezoid is a quadrilateral (has four sides and four angles) in which the bases are parallel, base angles are equal, legs are equal and the diagonals are equal.

In trapezoid ABCD, BD and AC are the diagonals. Hence:

BC is parallel to AD, AB is equal to CD and ∠CBA ≅ ∠BCD

Find out more on Isosceles trapezoid at: brainly.com/question/8645400

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8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0

4 years ago

Find the area of the figure<br> A) 450MM<br> B) 67,500 MM<br> C) 600MM<br> D)150MM

Sphinxa [80]

Thats it option (C). Hope it helps!!