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2 years ago

If two figures are similar, the resulting corresponding angles are always

Mathematics

1 answer:

Vlad [161]2 years ago

3 0

If two figures are similar, the resulting corresponding angles are always congruent.

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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

2 years ago

Which of the following describe an angle with a vertex at E?

Marianna [84]

Answer

B., C.

Step-by-step explanation:

Since the 'E' in the middle

it represents that the angle forms at the vertex E

3 0

3 years ago

Read 2 more answers

A prism is completely filled with 2304 cubes that have edge length of 14 cm

boyakko [2]

2304cubes(14^3 cm^3/cube)=6322176 cm^3

4 0

2 years ago

Read 2 more answers

Y = x + 2<br> y = 3x - 4

exis [7]

Answer:

x=3; y=5

Step-by-step explanation:

y=x+2

y=3x-4

so x+2=3x-4

2x=6

x=3

because y=x+2

x=3

so y=3+2

8 0

2 years ago

The value 0.01 gram is equivalent to 1 hectogram True or False

klemol [59]

Answer:

This is false statement.

Step-by-step explanation:

⇒ 1 Gram = 0.01 hectogram

⇒ 1 hectogram = 100 gram

⇒ 0.01 gram = 0.0001 hectogram

Thus the given statement is false.

3 0

2 years ago