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3 years ago

What is the solution to the equation?

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

$5(8 + 7) = 5\cdot x + 5 \cdot 7\\
5\cdot15=5x+35\\
75=5x+35\\
5x=40\\
x=8 \Rightarrow D$

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A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 7

Alinara [238K]

Answer:

Mean = 71.4 years

Standard Deviation = 20.64 years

Step-by-step explanation:

We are given the following data set:

72, 68, 81, 93, 56, 19, 78, 94, 83, 84, 77, 69, 85, 97, 75, 71, 86, 47, 66, 27

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1428}{20} = 71.4$

Sum of squares of differences =

0.36 + 11.56 + 92.16 + 466.56 + 237.16 + 2745.76 + 43.56 + 510.76 + 134.56 + 158.76 + 31.36 + 5.76, 184.96 + 655.36 + 12.96 + 0.16 + 213.16 + 595.36 + 29.16 + 1971.36 = 8100.8

$S.D = \sqrt{\displaystyle\frac{8100.8}{19}} = 20.64$

Mean = 71.4 years

Standard Deviation = 20.64 years

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