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2 years ago

Please select all the correct choices

Mathematics

1 answer:

sineoko [7]2 years ago

5 0

The correct choices based on the Segment Addition Postulate are <u>C. WX + XY + YZ = WZ</u> and <u>E. WY + YZ = WZ</u>.

<h3>What is a segment addition postulate?</h3>

A segment addition postulate is a part of a segment line that consists of two endpoints and all of the points between them.

For example, the segment addition postulate of line segment, AC will be defined as the sum of the lengths of the segments, AB and BC being equal to the total length AC.

<h3 />

The possible addition postulates that can be created from WZ are:

WZ = WX + XY + YZ

WZ = WY + YZ

WZ = WX + XZ

Thus, the correct choices of the segment addition postulate are <u>Options C and E</u>.

Learn more about segment addition postulates at brainly.com/question/2134445

#SPJ1

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One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold i

AysviL [449]

Answer:

$P( \^ p > 0.775 ) = 0.12798$

$P( 0.6718 < p < 0.775 ) =0.87183$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.75$

Considering question a

The sample size is $n = 387$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{ \frac{p(1 - p)}{ n } }$

=> $\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }$

=> $\sigma = 0.022$

The sample proportion of cans that are recycled is

$\^ p = \frac{ 300}{387 }$

=> $\^ p = 0.775$

Generally the probability that 300 or more will be recycled is mathematically represented as

$P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )$

$\frac{\^ p - p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( \^ p > 0.775 ) = P( Z > 1.136 )$

From the z table the area under the normal curve to the left corresponding to 1.591 is

$P( Z > 1.136) = 0.12798$

=> $P( \^ p > 0.775 ) = 0.12798$

Considering question b

Generally the lower limit of sample proportion of cans that are recycled is

$\^ p_1 = \frac{ 260 }{387 }$

=> $\^ p_1 = 0.6718$

Generally the upper limit of sample proportion of cans that are recycled is

$\^ p_2 = \frac{ 300}{387 }$

=> $\^ p_2 = 0.775$

Generally probability that between 260 and 300 will be recycled is mathematically represented as

$P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma }$

=> $P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )$

=> $P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )$

From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is

$P( Z < -3.55 ) = 0.00019262$

and

$P(Z < 1.136 ) = 0.87202$

$P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262$

=> $P( 0.6718 < p < 0.775 ) =0.87183$

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3 years ago

What is the probability of winning a raffle if there are 500 tickets and you got 5

Elza [17]

Probablity is (desired outcomes)/(total possible)

desired is your tickets: 5
total possible=500

probability is 5/500=1/100=1%

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3 years ago

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3 years ago

19 students in the cross is your favorite sport. Explain how to use a circle graph to find the total number of students surveyed

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3 years ago

Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!

Brums [2.3K]

Answer:

The value of $x$ is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

$100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}$ (1)

$190^{\circ} - x = 180^{\circ}$

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The value of $x$ is 10º.

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3 years ago

Please select all the correct choices​

Please select all the correct choices