Answer:
Step-by-step explanation:
In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model. Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).
The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.
Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.
However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.
Hence, various measures like either goodness of fit or theory testing, would be used for this.
Answer:
7.45
Step-by-step explanation:
We are given a right triangle with one side length known and an angle know so we can use some trigonometry.
You need to find the hypotenuse so you are going to use either sine or cosine.
Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,
cos(20) = 7/h
=>h = 7/cos(20)
=> 7.44924
=> 7.45
Answer:
16,244.26
Step-by-step explanation:
14,187.13 + (14.5% × 14,187.13) =
14,187.13 + 14.5% × 14,187.13 =
(1 + 14.5%) × 14,187.13 =
(100% + 14.5%) × 14,187.13 =
114.5% × 14,187.13 =
114.5 ÷ 100 × 14,187.13 =
114.5 × 14,187.13 ÷ 100 =
1,624,426.385 ÷ 100 =
16,244.26385 ≈
