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fenix001 [56]
3 years ago
7

These triangles are similar by :

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

AA

Step-by-step explanation:

Vertically opposite angle

Alternate angles

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Which number is an integer?<br><br> A) -9,248.3<br> B) 35,749.087<br> C)10,839<br> D -16/17
Cerrena [4.2K]

Answer:

C) 10839

Step-by-step explanation:

.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

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24 km<br> 10 km<br> What is the length of the hypotenuse?
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Answer:

20

Step-by-step explanation:

the hypotenuse is double the length of the shortest leg

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3 years ago
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In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
vlabodo [156]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

P(X < 4) =  0.4141

b

P(4 < X < 6) =   0.32876

c

 P(X >8) =  0.064037

d

The correct option is  B

Step-by-step explanation:

From the question we are told that

  The mean is  \mu =  4.5

  The standard deviation is \sigma  =  2.3

Generally the  probability that a randomly selected study participant's response was less than 4 is mathematically represented as

       P(X < 4) =  P(\frac{X - \mu }{\sigma} < \frac{4 - 4.5}{ 2.3}   )

\frac{X -\mu}{\sigma} =  Z (The \  standardized \  value \  of\  X )

So

     P(X < 4) =  P(Z < -0.217  )

From the z-table  P(Z < -0.217  ) =  0.4141

So

    P(X < 4) =  0.4141

Generally the probability that a randomly selected study participant's response was between 4 and 6 is mathematically represented as

     P(4 < X < 6) =  P( < \frac{4 - 4.5}{ 2.3}  < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})

=> P(4 < X < 6) =  P(  \frac{4 - 4.5}{ 2.3}  < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})

=>   P(4 < X < 6) =  P(  -0.217  < Z< 0.6522

=>   P(4 < X < 6) =   (Z< 0.6522) -P( Z <  -0.217)

From the z-table  

       (Z< 0.6522)  = 0.74286

So  

       P(4 < X < 6) =  0.74286 -0.4141

=>      P(4 < X < 6) =  0.74286 -0.4141

=>      P(4 < X < 6) =   0.32876

Generally the  probability that a randomly selected study participant's response was more than 8 is mathematically represented as

       P(X > 8) =  P(\frac{X - \mu }{\sigma} > \frac{8 - 4.5}{ 2.3}   )

        P(X > 8) =  P(Z > 1.52174  )

From the z-table  P(Z > 1.52174 ) =  0.064037

So

    P(X >8) =  0.064037

5 0
3 years ago
Im in the middle of a test!!! lol
Natalka [10]

Answer:

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Step-by-step explanation:

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marin [14]

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

5 0
4 years ago
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