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svetoff [14.1K]
2 years ago
11

The number of light bulbs produced by a company can be modeled by the expression

Mathematics
1 answer:
rewona [7]2 years ago
3 0

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

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Step-by-step explanation:

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2 years ago
Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri
ahrayia [7]

Answer:

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given  Population proportion 'p' = 0.40</em>

<em>Given Margin of error = 0.03</em>

<em>90% of level of significance </em>

<em>                                         </em>Z_{\frac{\alpha }{2} } = 1.645<em></em>

<em>The Margin of error is determined by</em>

<em></em>M.E = \frac{Z_{\frac{\alpha }{2} S.D} }{\sqrt{n} }<em></em>

0.03 = \frac{1.645 X \sqrt{0.40(1-0.40) } }{\sqrt{n} }

on calculation , we get

0.03√n = 0.8058

\sqrt{n} = \frac{0.8058}{0.03} = 26.86

squaring on both sides , we get

n = 721.45≅721

<u><em>conclusion</em></u>:-

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 

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