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sladkih [1.3K]
3 years ago
10

Graph the image of rectangle STUV after a reflection across the line x = -2

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:  see image

<u>Step-by-step explanation:</u>

Draw line x = -2. Count how many units away each point is from line x = -2 and  create the new points the same number of units away from line x = -2 but in the opposite direction.

S is 5 units to the right of x = -2. The new point S' is 5 units to the left of x = -2.

T is 6 units to the right of x = -2. The new point T' is 6 units to the left of x = -2.

U is 6 units to the right of x = -2. The new point U' is 6 units to the left of x = -2.

V is 5 units to the right of x = -2. The new point V' is 5 units to the left of x = -2.

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Heights of young adult women in the United States are approximately Normal with a mean of 64 inches and standard deviation 2.7 i
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Answer:

The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is  

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Step-by-step explanation:

From the question we are told that

   The mean is  \mu =  64 \ inches

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Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

       P( X >  72) =  P(\frac{X - \mu }{\sigma }  >  \frac{72  - 64 }{ 2.7 } )

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

       P( X >  72) =  P(Z >  2.963 )

From the z-table

  The area under the normal  curve to the right corresponding to 2.963  is  

     P(Z >  2.963 ) = 0.0015233

=>   P( X >  72) =0.0015233

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