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ZanzabumX [31]
3 years ago
8

The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75    Eqn 1

And

one the segments are four times the other

x=4y        Eqn 2

Putting\ x=4y\ in\ equation\ 1

4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

  • brainly.com/question/3783529
  • brainly.com/question/3799248

#LearnwithBrainly

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If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.

In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)

i.e. instead of f(x) = y, we have now f(x) = y/3

So transformation is g(x) = 3f(x)

Option A is correct.

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Step-by-step explanation:

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And we can find this probability with this difference:

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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".

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X \sim N(3.4,3.1)  

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And for this case we want this probability:

P(X< 3.4-0.6*3.1) = P(X

And for this case we can use the z score formula given by:

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

And using this formula we got:

P(X

And we can use the normal standard table or excel and we got:

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For the other part of the question we want to find the following probability:

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And using the score we got:

P(-1.715

And we can find this probability with this difference:

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Step-by-step explanation:

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