Answer:
y = 1
x = -2
Step-by-step explanation:
During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".
5A) x = -2y
5B) x = 2 - 4y
-2y = 2 - 4y <----- Set both equations equal
2y = 2 <----- Add 4y to both sides
y = 1 <----- Divide both sides by 2
Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".
x = -2y <----- Equation 5A
x = -2(1) <----- Plug 1 into "y"
x = -2 <----- Multiply -2 and 1
Answer:
-48
Step-by-step explanation:
Multiply all numbers to get -48
9514 1404 393
Answer:
C They do not go through the origin
Step-by-step explanation:
The graph of a proportional relationship is a straight line with a y-intercept of 0. These lines do not go through the origin, so do not describe a proportional relationship.
Answer:
So on this case the 95% confidence interval would be given by (155.301;159.299)
And the best option would be:
B. (155.3, 159,3)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=234 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The Confidence level is is 0.95 or 95%, the significance is 
and 
, the critical value for this case would be 
And replacing we got:
So on this case the 95% confidence interval would be given by (155.301;159.299)
And the best option would be:
B. (155.3, 159,3)
