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Usimov [2.4K]
3 years ago
11

For what value of X is ABCD a rectangle ? explain your answer

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

10

Step-by-step explanation:

If ABCD is a rectangle, then AB=CD and AC=BD.

  • AC=BD, so x+6=2x-4
  • Subtract, -x+6=-4
  • Subtract, -x=-10
  • Make positive, x=10

Check work:

  • 10+6=2(10)-4
  • 10+6=20-4
  • 16=16
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What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev
Helen [10]

Answer:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable if interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

We are interested on this probability

P(X>\mu +1.8 \sigma)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

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3 years ago
Rosalie and Emmet are having a disagreement. Rosalie thinks a line can have a line of symmetry, while Emmet
nikklg [1K]

A line totally can have a line of symmetry. while it does not have width (therefore cannot put the line of symmetry through its "width"), it does have a length like any other shape. If we take a 4 unit line, we could put the line of symmetry at the 2 unit mark.

^sorry, im rushing a bit so you might have to paraphrase !

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C.) is the correct answer! I’m 100% sure!

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Help please, 10 points ​
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Answer:

<u>12 feet</u>

Step-by-step explanation:

<u>Finding the missing side</u>

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