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Readme [11.4K]
2 years ago
9

Help me out please!! For what value of X must ABCD be a parallelogram?

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

A parallelogram must have two pairs of parallel sides.

For this to be true, the alternate exterior angles of the diagonal must be congruent.

Hence the equation,

<u>10x + 4 = 13x - 5</u>

Simplify.

<u>9 = 3x</u>

<u>x = 3</u>

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Step-by-step explanation:

Each x-value needs to have only one y-value in order to be a function

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3 years ago
A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90
laiz [17]

Answer:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The confidence interval for this case would be:

100 \leq \mu \leq 120

And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value t_{\alpha/2} would be lower. So then the best option would be:

a. becomes narrower

Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean

s represent the sample standard deviation

n represent the sample size  

Solution

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The confidence interval for this case would be:

100 \leq \mu \leq 120

And we want to know what happens with the interval if we reduce the confidence level to 90% and for this case we will get a narrower interval since the critical value t_{\alpha/2} would be lower. So then the best option would be:

a. becomes narrower

8 0
4 years ago
1. A farmer is building a silo. If he builds it with the following measurements,
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Answer:

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cone- 3934.32

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Independent Variable: The thing you change in an experiment

Dependent Variable: The thing that changes because you changed the independent variable (The thing that is measured and tested)

Ex:

You want to know how much water is best to give your plant so that it grows tall and healthy

Independent Variable: The amount of water you give to each plant (It varies)

Dependent Variable: The height of each plant (Changes because you change the independent variable)

8 0
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