Answer:
y = 3 1/13
Step-by-step explanation:
Add 3 and combine like terms:
... (2 3/5)y = 8
Multiply by the reciprocal of the coefficient of y.
... y = 8 · (5/13) = 40/13
... y = 3 1/13
_____
<em>Check</em>
(3/5)(3 1/13) - 3 + 2(3 1/13) = 5
(3/5)(40/13) - 39/13 + 2(40/13) = 5 . . . . express everything with 13 as a denominator
24/13 - 39/13 + 80/13 = 5 . . . . . eliminate parentheses
(24 -39 +80)/13 = 5 . . . . . . . . . . add the fractions
65/13 = 5
5 = 5 . . . . . the answer checks
<u>Solution-</u>
We know that,
<em>Residual value = Given value - Predicted value</em>
The table for residual values is shown below,
Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.
We know that,
<em>If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.</em>
As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.
Answer:
3 boxes
Step-by-step explanation:
12÷4= 3
3 boxes per person
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Answer:
(x) = ![\frac{3x-15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3x-15%7D%7B2%7D)
Step-by-step explanation:
Given
y =
x + 5
Rearrange making x the subject
Multiply through by 3 to clear the fraction
3y = 2x + 15 ( subtract 15 from both sides )
3y - 15 = 2x ( divide both sides by 2 )
= x
Replace x by
(x) and y by x, thus
(x) = ![\frac{3x-15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3x-15%7D%7B2%7D)