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grandymaker [24]
3 years ago
15

Simplify (7^6)^2 .....................................

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

13,841,287,201

Step-by-step explanation:

simply the parenthesis:

7^6 or 7 times itself 6 times: 7x7x7x7x7x7

which equals 117,649 and then multiply that number by itself

117,649x117,649 and you should get 13,841,287,201

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3 years ago
The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is
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Answer:

A. <u>Normal</u>

B. <u>30.1</u>, <u>32.9</u>

C. <u>95</u>, <u>5</u>

Step-by-step explanation:

A. The sampling distribution follows a <u>normal</u> distribution

Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem

B. The 95% confidence interval is given as follows;

CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}

The number of residents in the study, n = 120 residents

The sample mean, \overline x = 31.5 pounds

The standard deviation, s = 7.8 pounds

The z-value for 95% confidence level, z = 1.96

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C.I. = 31.5 ± 1.96 × 7.8/√(120)

The 95% C.I. ≈ 30.1 ≤ \overline x ≤ 32.9

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C. Therefore, according to the central limit theorem, about <u>95</u> percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about <u>5</u> percent will not contain the true population mean number of pounds of trash generated per person per week.

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3 years ago
How to solve and graph the problem
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