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astra-53 [7]
3 years ago
5

What is the explict formula for the arithmetic sequence -7.5,-9,-10.5,-12

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

<u>x = -7.5 - 1.5(n−1) </u>

Step-by-step explanation:

the explicit formula for the arithmetic sequence has the form

x = a + d(n−1)

a is the first term and d is the common difference

The given arithmetic sequence is

-7.5,-9,-10.5,-12

The first term is -7.5

d = common difference = -9 - (-7.5) = -1.5

∴ x = -7.5 - 1.5(n−1)

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1   4     11
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3 0
3 years ago
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol
Julli [10]

Answer:

0.071,1.928

Step-by-step explanation:

                                                Downtown Store   North Mall Store

Sample size   n                             25                        20

Sample mean \bar{x}                         $9                        $8

Sample standard deviation  s       $2                        $1

n_1=25\\n_2=20

\bar{x_1}=9\\ \bar{x_2}=8

s_1=2\\s_2=1

x_1-x_2=9-8=1

Standard error of difference of means = \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}

Standard error of difference of means = \sqrt{\frac{2^2}{25}+\frac{1^2}{20}}

Standard error of difference of means = 0.458

Degree of freedom = \frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}

Degree of freedom = \frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}

Degree of freedom =36

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Confidence interval = (x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)

Confidence interval = 1-(2.0280)\times 0.458,1+(2.0280)\times 0.458

Confidence interval = 0.071,1.928

Hence Option A is true

Confidence interval is  0.071,1.928

4 0
3 years ago
(–2) + 6 + 1 = 1 + 6 + (–2) =
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Answer:

5=5

Step-by-step explanation:

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