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Anna11 [10]
4 years ago
11

Simplify the following expression and write

Mathematics
1 answer:
lisov135 [29]4 years ago
6 0

Answer:

3.4*10^{1}

Step-by-step explanation:

When multiplying you use the number with least amount of significant figures in it since both 0.00045 and 0.0015 have two significant figures in them our final answer will have two significant figures in it. So the to solve and express in scientific notation we simply multiply:

(0.00045)(500,000)

0.0015 = .3375 but in scientific notation to two significant figures we write:

3.4*10^{1}

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Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are normally distributed. Suppos
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Answer:

\sigma=\frac{175-153}{2}=11

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:

X \sim N(153,unknown)  

Where \mu=153 and \sigma=?

We know that the value for Renee is X=175 and the z score obteined was Z=2.

Solution to the problem

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{X-\mu}{\sigma}

We are interested on the value of \sigma and we can solv for it:

z \sigma = X-\mu

\sigma=\frac{X-\mu}{z}

And replacing the values we have:

\sigma=\frac{175-153}{2}=11

 

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

answer is B. :)

Step-by-step explanation:

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Mrrafil [7]

Answer:

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Step-by-step explanation:

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