What are the first 4 terms of the arithmetic sequence in the graph?

Mathematics

2 answers:

goblinko [34]3 years ago

7 0

Answer: The first 4 terms of the arithmetic sequence in the graph (1,2)(2,-2)(3,-6)(4,-10)

Step-by-step explanation:

Given a graph with coordinates:

(x,y)= (1,2)(2,-2)(3,-6)(4,-10)

The sequence of values of 'x' : 1,2,3,4

For an arithmetic expression 'd' remains the same between the two consecutive terms

2-1 = 3-2 = 4-3 = 1 = d

The sequence of values of 'y' : 2,-2,-6,-10

For an arithmetic expression 'd' remains the same between the two consecutive terms

(-2)-(2) = (-6)-(-2) = (-10)-(-6) = (-4) = d

Hence, the first 4 terms of the arithmetic sequence in the graph (1,2)(2,-2)(3,-6)(4,-10)

Romashka [77]3 years ago

6 0

I went in order from top to bottom. don't know if this was what you meant...... (1,2), (2,-2), (3,-6), (4,-10).

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A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

Step-by-step explanation:

Z-score:

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.

In this question:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

$Z = \frac{17 - 13}{1.2}$