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2 years ago

An arithmetic sequence has this recursive formula:

Mathematics

2 answers:

AnnZ [28]2 years ago

7 0

Answer:

Step-by-step explanation:

Sn=a(n-1) d

this formula for Calculating arithmetic sequence

prohojiy [21]2 years ago

4 0

Answer: D. $a_n=6+(n-1)(-3)$

Step-by-step explanation:

Given : An arithmetic sequence has this recursive formula:

$a_1=6 \ \ \; \ a_n=a_{n-1}-3$

Using the given information, Second term of arithmetic sequence will be :-

$a_2=a_{1}-3=6-3=3$

That means common difference = $a_2-a_1=3-6=-3$

The explicit formula for arithmetic sequence is given by :-

$a_n=a+(n-1)d$ , where a is the first term and d is the common difference.

Put a= 6 and d= -3, we get

The explicit formula for this sequence :-

$a_n=6+(n-1)(-3)$

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m

UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

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Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

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Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of $\bar X$ Round your answers to two decimal places.

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 delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

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Answer:

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Step-by-step explanation:

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Step-by-step explanation :