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Fofino [41]
4 years ago
5

Cliff wants to determine whether people prefer red apples or green apples. In order to obtain good results, he decides to conduc

t this survey at a car festival. Out of the 5000 people who attended the festival, Cliff surveys 10 attendees randomly. The survey reads, "Which do you prefer, red apples or green apples" Seven of ten people surveyed answer that they prefer red apples. From his survey, Cliff concludes that most people prefer red apples. Cliff's results may not be reliable because of _____________ problems with his study?
Mathematics
1 answer:
Alex17521 [72]4 years ago
4 0

Answer:

Small sample size.

Step-by-step explanation:

The problem with Cliff's survey is that his sample size is too small. 10 out of 5,000 people represent only 0.2% of the population that attended the festival, which is too small of a sample for a reliable study.

Furthermore, since Cliff's question was to determine whether people, in general, prefer red apples or green apples, the sampling of only people who attended the festival might no be adequate.

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Multiplying Powers with the Same Base
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Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>
  • Base on the product rule for exponents, we have, a^m \times a^n = a^{m + n} = a^{mn}.
  • In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. 5^6 \times 5^{-4

Add the exponents together

5^6 \times 5^{-4} = 5^{(6) + (-4)}

5^6 \times 5^{-4} = 5^2

2. 5 \times 5^3

Add the exponents together

5 \times 5^3 = 5^{(1 + 3)}

5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3}

Add the exponents together

5^{-3} \times 5^{-3} = 5^{(-3) + (-3)

5^{-3} \times 5^{-3} = 5^{-6

5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0

Add the exponents together

5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)

5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3}

Add the exponents together

5^{7} \times 5^{3} = 5^{10}

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

Learn more about product rule of exponents on:

brainly.com/question/847241

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2 years ago
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barxatty [35]

Answer:I think -0.4

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

Here the given expression to us is ;

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Recall that ,

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On using this , we have ;

\sf\qquad\longrightarrow \sqrt{\dfrac{\cancel{64}\cancel{x}y^5}{\cancel{8x}}}

Simplify ,

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The prime factorisation of 8 is 2³ . So ;

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Simplify the square root ,

\sf\qquad\longrightarrow \pink{ 2y^2\sqrt{2y}}

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vladimir1956 [14]

Answer

Find out the  how far into the country does he go.  

To proof

Let us assume that the total diatance travelled into the country be x .

Formula

Time =\frac{Distance}{Speed}

As given

A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,

he walks it back at an average speed of 3 miles per hour.

If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.

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solving

13x = 195

x = \frac{195}{13}

x = 15 miles into the country

Hence proved

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3 years ago
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