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kirill [66]
3 years ago
5

Write an explicit formula for An​, the nth term of the sequence 4, -20, 100, ...

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

oop

Step-by-step explanation:

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Sever21 [200]

Answer:

two in the middle

Step-by-step explanation:

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3 years ago
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A jar contained 8 balls: 6 red, 1 green and 1 blue.
tester [92]

Answer:

\{R,GR,BR,GBR,BGR\}

Step-by-step explanation:

Sample space is a set of possible outcomes of a random experiment.

A random experiment is an experiment whose outcomes can not be predicted.

Number of red balls = 6

Number of green ball = 1

Number of blue ball = 1

Let R denotes red ball, B denotes blue ball and G denotes green ball.

Sample space = \{R,GR,BR,GBR,BGR\}

6 0
3 years ago
Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods
NikAS [45]

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.

This means that \mu = 40000, \sigma = 2000

Jean selected three neighborhoods and determined the average income level.

This means that n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7

What is the probability that the average income level in the neighborhoods was less than $38,000

This is the pvalue of Z when X = 38000. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{38000 - 40000}{1154.7}

Z = -1.73

Z = -1.73 has a pvalue of 0.0418

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

6 0
3 years ago
The radius of a circle is 7 centimeters. What is the circle’s circumference?<br><br> Use 3.14 for pi
elixir [45]
The circle’s circumference is 43.98. Hope this helps!
8 0
3 years ago
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If DF = 61 and EF = 18, find DE
vova2212 [387]

Answer:

43 i jus subtracted

Step-by-step explanation:

5 0
3 years ago
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