Empirical rule dictates that, in a Bell-shaped distribution, 95% of data lies within 2 standard deviation on either side of the mean.
Therefore,
Lower value = mean-2SD = 70-2*8 = 70-16 = 54
Upper value = mean+2SD = 70+2*8 = 70+16 = 86
Then, 95% of the data lies between $54 and 84. These values can also be taken as the true mean of the population considering 95% confidence when sample mean has been calculated. In this regard, 2SD can be regarded as the margin error.
Answer:
13/6 or 2 1/6
Step-by-step explanation:
6 1/2 = 13/2 (Improper Fraction)
1/3 = 2/6 (1/3 is just simplified)
1/3 x 1 + 1 + 4 + 6 + 1 = Answer
(13/2 x 1/3 = 13/6)
Answer: rotational symetry, reflection, and point
Step-by-step explanation:
the large bag is 5/6 lb, the smaller bags will be 1/3 lb, so it should be 5/6 ÷ 1/3
![\bf \cfrac{5}{6}\div \cfrac{1}{3}\implies \cfrac{5}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies \cfrac{5}{2}\implies 2\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B5%7D%7B6%7D%5Cdiv%20%5Ccfrac%7B1%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B%5Cunderset%7B2%7D%7B~~%5Cbegin%7Bmatrix%7D%206%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Ccdot%20%5Ccfrac%7B~~%5Cbegin%7Bmatrix%7D%203%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%202%5Cfrac%7B1%7D%7B2%7D)