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vagabundo [1.1K]
3 years ago
15

Given that p is parallel to q fill in the reasons why each statement is true.

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

1. given

2. vertically opposite angles are equal

3. alternate angles on parallel lines P||q are equal

4. vertically opposite angles are equal

5. angle 1 = angle 3 (corresponding angles on parallel lines are equal)

angle 3=angle 4 (vertically opposite angles are equal)

therefore angle 1 = angle 4

Step-by-step explanation:

hope that helps :)

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000059.23 - 000044.18 =
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Answer:

15.05

Step-by-step explanation:

Also, you don't need to add the zeros, they don't mean anything.

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3 years ago
Assume the random variable x is normally distributed with mean p= 80 and standard deviation o = 4. Find the indicated probabilit
taurus [48]

This question is incomplete, the complete question is;

Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.

Find the indicated probability.  P(67 < x < 72)

(Round to four decimal places as needed.)

Answer:

the indicated is 0.0222

Step-by-step explanation:

Given the data in the question;

mean μ = 80

standard deviation σ = 4

p ⇒ P ( x -μ  / σ )

so

P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ  / σ )  < P( 72-80 / 4 )

P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ  / σ ) < P( -8 / 4 )

P(67 < x < 72) ⇒ P( -13 / 4  < z < -8 / 4 )

P(67 < x < 72) ⇒ P( -3.25  < z < -2 )

⇒ P( z < -2 ) - P( z < -3.25)

Now from z table;

⇒ 0.02275 - 0.00058

P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222  { four decimal places }

Therefore, the indicated is 0.0222  

8 0
3 years ago
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