All categories

3 years ago

Which proportion is true?

Mathematics

1 answer:

Kamila [148]3 years ago

4 0

If the polygons are similar, the corresponding sides are proportional.

corresponding sides:

AE - BD

AB - ED

BC - DC

AC - EC

You have proportions:

$\dfrac{AE}{BD}=\dfrac{AC}{BC}=\dfrac{EC}{DC}\\\\\dfrac{AB}{ED}=\dfrac{BC}{DC}=\dfrac{AC}{EC}$

and their modifications

You might be interested in

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

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

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

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

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

3 years ago

Evaluate y=x+5 when y=10.

MAXImum [283]

Answer:

Step-by-step explanation:

Subtract 5 to both sides when plugging in 10 for y.

$10=x+5 \\-5 -5$ ⇒ $5=x$

8 0

3 years ago

John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns, earning $10 each. He puts that money in

Nat2105 [25]

He has 45 dollars left

4 0

3 years ago

Muslim mathematicians adopted a numerical system from (1 point)

Vladimir [108]

The Muslim mathematicians adopted a numerical system from India. The correct answer is B.

6 0

3 years ago

Read 2 more answers

A peice is paper is 8 1/2 inches by 11 inches. what is the area of the piece of paper?

galina1969 [7]

Answer:

93.5 inches

Step-by-step explanation:

Length times width

4 0

3 years ago