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Contact [7]
3 years ago
5

Using sigma notation write the geographic series: 6+12+24+48+96

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

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Step-by-step explanation:

it may help you

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3 years ago
Divide. −36/−8 Enter your answer as a mixed number, in simplified form, in the box.
Pavel [41]

Answer:

= 4 whole  1/2

Step-by-step explanation:

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3 years ago
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

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".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

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3 years ago
Juan says that the probability of picking two white marbles without replacing from a bag containing 3 solid white marbles and 5
Andru [333]
C brecause he’s innocent
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3 years ago
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