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Studentka2010 [4]

2 years ago

6

6-5 additional practice properties of special parallelograms

1 answer:

egoroff_w [7]2 years ago

5 0

The properties of parallelograms are contained below:

They have opposite sides which are congruent to each other. BC = ED
They have Opposite angles which are congruent also.
Consecutive angles are known to sum up to 180 degrees. They are supplementary.
If an angle is right, all other angles are right.
The diagonals are said to bisect each other.

<h3>What is a parallelogram?</h3>

This is a shape that is known to have four sides. Each of the sides is parallel to the side that is oppositev it.

Read more on parallelograms here: brainly.com/question/1834702

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In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

In the equation above, a is a constant. If the equation has the solutions x=-2x = − 2 and x = − 1 2 , what is the value of a?

ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

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ax ^{2} +5x+2=0

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Use the sample data and confidence level given below to complete parts a through d.

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Using the information given and the z-distribution, it is found that:

a) The point estimate of the population proportion is 0.5544.

b) The margin of error is: 0.0320.

c) The interval is: (0.5224, 0.5864).

d) The interpretation of the interval is: we are 95% sure that the true population proportion is between 0.5224 and 0.5864.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

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

In which the variables used to calculated these bounds are listed as follows:

$\pi$ is the point estimate of the population proportion.

z is the critical value.

n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

From the sample, the sample size and the point estimate are given as follows:

$n = 929, \pi = \frac{515}{929} = 0.5544$

The margin of error is given by:

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

$M = 1.96\sqrt{\frac{0.5544(0.4456)}{929}}$

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The interval is the point estimate plus/minus the margin of error, hence:

Lower bound: 0.5544 - 0.0320 = 0.5224.

Upper bound: 0.5544 + 0.0320 = 0.5864.

More can be learned about the z-distribution at brainly.com/question/25890103

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