The answer to the expression is -97/20 or -4.85
Answer:
Step-by-step explanation:
Great job! you didn't include the rectangle! no one can answer this question! you're the best!
Answer:
The standard deviation of the following data set is 32.2
Step-by-step explanation:
step 1
Find the mean
we have
![[56,78,123,34,67,9,20]](https://tex.z-dn.net/?f=%5B56%2C78%2C123%2C34%2C67%2C9%2C20%5D)
Sum the data and divided by the number of elements
![[56+78+123+34+67+91+20]/7=469/7=67](https://tex.z-dn.net/?f=%5B56%2B78%2B123%2B34%2B67%2B91%2B20%5D%2F7%3D469%2F7%3D67)
step 2
For each number: subtract the Mean and square the result
![[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]](https://tex.z-dn.net/?f=%5B%2856-67%29%5E%7B2%7D%2C%2878-67%29%5E%7B2%7D%2C%28123-67%29%5E%7B2%7D%2C%2834-67%29%5E%7B2%7D%2C%2867-67%29%5E%7B2%7D%2C%2891-67%29%5E%7B2%7D%2C%2820-67%29%5E%7B2%7D%5D)
![[121,121,3,136,1,089,0,576,2,209]](https://tex.z-dn.net/?f=%5B121%2C121%2C3%2C136%2C1%2C089%2C0%2C576%2C2%2C209%5D)
step 3
Work out the mean of those squared differences
This value is called the "Variance"
step 4
Take the square root of the variance
Answer:
113.04 cubic inches.
Step-by-step explanation:
We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.
To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.
, where,
r = Radius of cylinder,
h = Height of cylinder.
First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.


Upon substituting our given values in volume formula we will get,
Therefore, one can of soft drink contains 18.84 cubic inches of drink.
To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.
Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.