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densk [106]
3 years ago
7

Simplify. 2u? - 20u +42 u² – 5u+6

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

The simplified expression is:

\frac{2(u + 7)}{(u- 2)}

Step-by-step explanation:

We want to simplify:

\frac{2 {u}^{2}  - 20u + 42}{ {u}^{2}  - 5u + 6}

We factor the numerator and the denominator to get:

\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}

Cancel out u-2 which is common to the numerator and the denominator yo get:

\frac{2(u + 7)}{(u- 2)}

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Find the point estimate for the true difference between the given population means. Round your answer to three decimal places.
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Answer:

Point Estimate for different between population means = - 0.99

Step-by-step explanation:

We are given data of two samples and we have to find the best point estimate of the true difference between two population means. Remember that in absence of data about population the best estimator is the sample data. So, we will find the means of both sample data and find the difference of that means. This difference between the means of sample data will be the best point estimate for the true difference between the population means.

Formula to calculate the mean is:

Mean=\frac{\text{Sum of Values}}{\text{Number of Values}}

Mean of Sample 1:

Mean=\frac{1414}{11}=128.55

Mean of Sample 2:

Mean=\frac{1684}{13}=129.54

Therefore the best point estimate for difference between two population means would be = Mean of Sample 1 - Mean of Sample 2

= 128.55 - 129.54

= - 0.99

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Step-by-step explanation:

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A cube has a volume of 343 cubic cm. What is the area of the base
Amanda [17]

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

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s = \sqrt[3]{343} = 7, thus

area of base = s² = 7² = 49 cm²

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Answer:

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Step-by-step explanation:

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