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2 years ago

Use the Two-Transversal Proportionality Corollary to find the value of x.

Mathematics

2 answers:

valina [46]2 years ago

6 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Length of DE = 13 cm

Length of EF = 26 cm

Length of BC = 12 cm

Length of AB = x cm

Using the Two transversal proportionality Corollary, we get that

$\dfrac{13}{13+26}=\dfrac{12}{12+x}\\\\\dfrac{13}{39}=\dfrac{12}{12+x}\\\\\dfrac{1}{3}=\dfrac{12}{12+x}\\\\12+x=12\times 3\\\\12+x=36\\\\x=36-12\\\\x=24\ cm$

Hence, The value of x is equal to 24 cm.

Therefore, Third option is correct.

Artist 52 [7]2 years ago

5 0

I hope this helps you

12/12+x=13/13+26

12/12+x=13/39

12/12+x=1/3

12+x=36

x=24

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The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

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$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

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 average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$