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Julli [10]
3 years ago
5

the vertices of a parallelogram are (0,0),(5,0),(8,2),(3,2) what are the coordinates if the parallelogram was reflected in the y

axis.
Mathematics
1 answer:
just olya [345]3 years ago
7 0
(0,0) (-3,2) (-5,0) (-8,2)
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The answer is the triangles  could have the same shape( that is all the angles are equal) but the sides  may not be the same length . Thay are similar but not necessarily congruent.

C is the correct choice.
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The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

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}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
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What are the distances between the two points (2,-4) , (2,6)
kotegsom [21]

Answer:

10

Step-by-step explanation:

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Which product is positive?<br> ( 13 ( 31 )<br> ( 31 )<br> (3) ( 13 (1)
Anastaziya [24]
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3 years ago
Fifteen more than z times 6 is 11 less than y times 2
nata0808 [166]
<h3>Given:</h3>

Fifteen more than z times 6 is 11 less than y times 2

<h3>Solution:</h3>

Fifteen more than z times 6 = 6z + 15

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<h2>Answer:</h2>

6z + 15 = 2y - 11

7 0
3 years ago
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