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Dmitry_Shevchenko [17]
3 years ago
14

Tom is drawing a map of the block on which he lives, using a scale of 1 inch to 160 feet. The actual length of his block is 1,80

0 ft. What is the exact length of the block on Tom's map?
Mathematics
2 answers:
Basile [38]3 years ago
5 0
The length of tom's block on his map is 11.25 inches
Ivenika [448]3 years ago
5 0
Since we have a scale of 1in : 160ft.  we just need to fill in with what we have...
                                         ?      1800ft

1800 / 160 = 11.25

The length on Tom's map is 11.25in
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(X+8)(x-8) if necessary combine like terms
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Answer:

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In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an
Serggg [28]

Here is dependence between scores and x-values:

Z_i=\dfrac{X_i-\mu}{\sigma},

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1. When i=1, Z_1=-0.25,\ X_1=57, then

-0.25=\dfrac{57-\mu}{\sigma}.

2. When i=2, Z_2=1.25,\ X_2=87, then

1.25=\dfrac{87-\mu}{\sigma}.

Now solve the system of equations:

\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.

\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.

Subtract first equation from the second:

1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.

Then

1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.

Answer: the mean is 62, the standard deviation is 20.

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I would use this website. Hope it helps!
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EastWind [94]

(4x^4-1)÷x+1

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The second step powers 4x 4 times

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The 4th step shows the problem after x is removed.

The 5th step is the answer: 256

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