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Flura [38]
4 years ago
15

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
JulsSmile [24]4 years ago
7 0

Answer:

C

Step-by-step explanation:

an arithmetic sequence is a sequence in which you use addition/subtraction in order to achieve each term. Choice A alternates between the negative and positive therefore you can tell that it's multiplying each time, and the same goes for D, those two are incorrect. B is incorrect because you cannot add/subtract a number each time to get the next term. C, if you attempt to find the difference between in each term in choice C you will succeed and find that each time you add 3/2 each time to get the next term.

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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:

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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:

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