Answer:
18lbs of Mexican Shade Grown coffee
Step-by-step explanation:
Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...
90lbs Gazebo <=====> 27lbs Mexican Blend
60lbs Gazebo <=====> x lbs Mexican Blend
(60 * 27) / 90 = x
1620 / 90 = x
18 lbs = x
We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]
Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where
are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Use a calculator yo help you get it
The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.
The key word here is "similar;" be sure you understand what that means in trig.