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Ray Of Light [21]
3 years ago
7

A scale model of a building has a scale of 3 : 79.

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:

The height of the scale model is of 91.14 cm.

Step-by-step explanation:

Scale problems are solved by proportions, using rule of three.

A scale model of a building has a scale of 3 : 79.

This means that 3m on the drawing represent 79m of real height.

The height of the real building is 24 m.

3m - 79m

xm - 24m

Applying cross multiplication

79x = 72

x = \frac{72}{79}

x = 0.9114

In centimeters:

Multiplying by 100:

0.9114*100 = 91.14 cm.

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Answer:

The margin of error is  ME = 2.2962

Step-by-step explanation:

From the question we are told that

     The number of student is n = 500

     The highest amount is  A =$200

     The lowest amount is  B = $75

       The sample mean is  x = &140

The Standard deviation  of this set is mathematically evaluated as

            s =  \frac{A-B}{4}

Substituting values

            s =  \frac{200-75}{4}

            s = 31.25

The margin of error (ME) is mathematically evaluated as

            ME =  t_{n-1}__{\alpha }} *  \frac{s}{\sqrt{n} }

Where  t_{n-1}__{\alpha }} is the critical value for \alpha  = 0.05 i.e the significance level

     From the critical value table this is  t_{n-1}__{\alpha }}  =  1.649

So

       ME =  1.649  *  \frac{31.25}{\sqrt{500} }

      ME = 2.2962

6 0
3 years ago
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
Leokris [45]
Combine like terms
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4 0
2 years ago
Solve the equation.<br><br> 5d = 17.1<br><br><br> 12.1<br><br> 22.1<br><br> 85.5<br><br> 3.42
Rudiy27

Hello there!


5d = 17.1

The equation is asking you to find the value for "d". How to do that? Well, all you have to do is divide both side by 5.

5d/5 = 17.1

d = 3.42  

That's your answer!


You can even double check your work, if you want to. How? Well, you just need to replace 3.42 where it belongs.

5(3.42) = 17.1

17.1 = 17.1

True!


Let me know if you have additional questions. As always, it is my pleasure to help students like you!

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2 years ago
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Step-by-step explanation:

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