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Salsk061 [2.6K]
3 years ago
11

you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is

three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.
Mathematics
2 answers:
marshall27 [118]3 years ago
7 0
The answer would be 3 to the power of 4, to get 81.

I hope this helps! :>
ki77a [65]3 years ago
3 0
3cmx4models is the beginning to figure out how big the tallest. if you multiply 3 Centimeters (The smallest) by the amount of models (4) you would get 12 so thats you answer 12CM is the height so 4³
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Given:
Sample proportion = 85% = 0.85.
Confidence level (CL) = 90%.
Confidence interval (CI) \hat{p} \pm z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} }  \\ where \\ n=sample\, size \\ z^{*}=1.645 \, at \, 90\% \, CL

We want the confidence interval to be 5% or 0.05. Therefore
0.85 - 1.645 \sqrt{ \frac{0.85(1-0.85)}{n} }=0.05 \\ 0.85 -  \frac{0.5874}{ \sqrt{n} } =0.05 \\  \frac{0.5874}{ \sqrt{n} }=0.8 \\  \sqrt{n} = .7342 \\ n=0.54

Because this number is less than 1, a default sample size of 30 (for the normal distribution) is recommended.

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3 years ago
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polet [3.4K]

Answer:187.5 inches.

Step-by-step explanation:

25 / 2 = x / 15

25 = 2x / 15

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375 = 2x

187.5 = x

The actual car is 187.5 inches.

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gogolik [260]

Answer:

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Step-by-step explanation:

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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equivalent expression is ~

  • f(b - 2) =  {b}^{2}  - 10b + 17

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's evaluate f(b - 2) ~

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  • f(b - 2) = (b - 2) {}^{2}  -6 (b - 2) + 1

  • \mathcal{ {f(b - 2) =  {b}^{2}   +  2 {}^{2}  - (2 \times b \times 2) - 6b + 12}}

  • f(b - 2) =  {b}^{2}   + 4 - 4b - 6b + 12 + 1

  • f(b - 2) =  {b}^{2}  - 10b + 17
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