Describe the transformations that maps triangle A to triangle A

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

The answer is A. If you translate the triangle 10 units up and reflect it over the y-axis, the triangle will be on top of the other.

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son4ous [18]

There is a relationship between confidence interval and standard deviation:
$\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}$
Where $\overline{x}$ is the mean, $\sigma$ is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
$\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}$
When we do all the calculations we find that:
$\overline{x}=123.8\\ \sigma=11.84$
Now we can find confidence intervals:
$($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\$
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing

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Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d

Nesterboy [21]

The distance between the two points on the number line is of $\mathbf{\frac{5}{9}}$ units.

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The distance between two numbers on the number line is given by the <u>subtraction of the greater by the smaller number.</u>
The greater number is $-\frac{2}{9}$
The smaller is $-\frac{7}{9}$ .
The distance is:

$-\frac{2}{9} - (-\frac{7}{9}) = -\frac{2}{9} + \frac{7}{9} = \frac{-2 + 7}{9} = \frac{5}{9}$

Thus, distance of $\mathbf{\frac{5}{9}}$ units.

A similar problem is given at brainly.com/question/10795861

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OleMash [197]

The answer is 11

Hope this helps!!

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