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aev [14]
3 years ago
11

Which triangles are similar to triangle ABC?

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

DEF

Step-by-step explanation:

DEF is half of ABC, which means they're both similar in some way.

As we can see line DE is half of line AB (DE is 5.5 and AB is 11)

Line DF and Line EF are half of Line AC and Line BC (DF/EF is 4 while AC/BC is 8)

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2,117÷3=705. Is your Product
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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s
Oksi-84 [34.3K]

Answer:

a) \mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

b) From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

c) P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

P(Z\geq2.070)=1-P(Z

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

\mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

Part c

For this case we want this probability:

P(\bar X \geq 285)

And we can use the z score defined as:

z=\frac{\bar x -\mu}{\sigma_{\bar x}}

And using this we got:

P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

And using a calculator, excel or the normal standard table we have that:

P(Z\geq2.070)=1-P(Z

8 0
3 years ago
Express sin110 as ratio of acute angle
lesya [120]

Answer:

sin70°

Step-by-step explanation:

Given sin110° where 110° is an obtuse angle in the second quadrant.

The related acute angle in the first quadrant is 180° - 110° = 70°

Thus

sin110° = sin70°

8 0
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Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D
gizmo_the_mogwai [7]

Answer:

B:subtraction property

Step-by-step explanation:

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3 years ago
Make an approximate conversion from English to metric. <br><br> 9 ft to meters
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Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

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2 years ago
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