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3 years ago

BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 6. Find the number.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

8 0

Answer: -26

Step-by-step explanation:

2(n - 4)= 3(n + 6)

2n -8 = 3n + 18

+8 +8

2n = 3n + 26

-3 -3

-1n = 26

n= -26

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Given values: 54, 65, 76, 43, 45, 76, 87 12, 23, 34, 67,65, 78, 45, 34. Given 95% confidence and sigma (population standard devi

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Answer:

Option (D) None of the above.

Step-by-step explanation:

We are given the following data:

54, 65, 76, 43, 45, 76, 87, 12, 23, 34, 67,65, 78, 45, 34

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.

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

$Mean =\displaystyle\frac{804}{15} = 53.6$

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$S.D = \sqrt{\frac{6849.6}{15}} = 21.4$

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

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