Its proportional.
(I need 20 characters but thats all really.)
Answer:
4 and 14
Step-by-step explanation:
:the sum of two numbers is 18" can be written as
x + y = 18 let x represent the first number, and y the second
"twice the first number increased by three times the second number equals 40" can be written as
2x + 3y = 40
Now solve this system. Using elimination will probably be the easier method...
1. x + y = 18
2. 2x + 3y = 40
Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.
1. -2x - 2y = -36
2. 2x + 3y = 40
Now add the equations together, cancelling out 'x'
y = 4 ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)
Since y = 4, plug that into either equation 1 or 2 and solve for x
1. x + 4 = 18 (y becomes 4)
x = 14 (subtract 4 on both sides to isolate 'x')
The volume of the first figure: 904.78 m^3
the volume of the second figure: 113.1 m^3
Difference: 904.78-113.1= 791.68
Answer:
a) There is outlier (lower category), but this outlier seem certain to be due to an error.
b) There is outlier (upper category), this outlier seem certain to be conceivably correct.
Step-by-step explanation:
a) The outlier in the rock weight is certain to be due to an error. As shown, the rock was weighed five time to ascertain the actual weight or perhaps to known the mean weight. <em>Thus, having a value 4.91 can not be true. It can only be due to an error of recording the values.</em> It suppose to be recorded as 49.1.
b) Since this was a sample of annual income of five different families, it quite possible that a particular family annual income is $1, 200, 000. Hence, we cannot regard this outlier an error, rather conceivably true.
See attached for the box plot of the two data sets.