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Vitek1552 [10]
3 years ago
14

Consider the sequence 2, 5, 10, 17, ...

Mathematics
2 answers:
melisa1 [442]3 years ago
6 0
A4 means the 4th number
so it is 17
sergeinik [125]3 years ago
3 0

Answer:

The answer is a4=17

Step-by-step explanation:

we have the sequence

2,5,10,17,...

Let

a1-----> the first term

a2----> the second term

a3----> the third term

a4----> The fourth term

In this problem we have

a1=2

a2=5

a3=10

a4=17

therefore

the answer is

a4=17



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Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable com
riadik2000 [5.3K]

Answer:

4.01% probability that the cable company will keep the shopping channel.

Step-by-step explanation:

For each subscriber, there are only two possible outcomes. Either they watch the shopping channel at least once a week, or they do not. This means that we can solve this problem using the binomial probability distribution.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 100, p = 0.20

So

E(X) = 100*0.20 = 20

\sqrt{V(X)} = \sqrt{100*0.20*0.80} = 4

The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20?

This probability is 1 subtracted by the pvalue of Z when X = 0.27*100 = 27. So

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

Z = \frac{27 - 20}{4}

Z = 1.75

Z = 1.75 has a pvalue of 0.9599.

So there is a 1-0.9599 = 0.0401 = 4.01% probability that the cable company will keep the shopping channel.

5 0
3 years ago
Jane has a gift card with a balance of 100$​
Deffense [45]

Answer:

100-10 = 15x

Step-by-step explanation:

You are subtracting 10 because that is how much is still left, its not included in the total spent.

15 represents the money spent per shirt, and x is the amount of shirts purchased

4 0
3 years ago
Read 2 more answers
the figure below shows two half-circles at the ends of a rectangle with the dimensions shown. which is the closet to the area of
Pani-rosa [81]
You get 92.56 <span>You add the area of the rectangle to the area of a circle

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8 0
3 years ago
Probability question, which I am stuck on!
son4ous [18]

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

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If we roll the dice 300 times, the expected number of times the dice will land:

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7 0
3 years ago
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Elanso [62]
The answer is B: (-1/4, 1/2)

7 0
3 years ago
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