-x + 4 = 2x + 1
add x to both sides
4 = 3x + 1
subtract 1 from both sides
3 = 3x
dived 3 from both sides
1 = x
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
4% of 50000
(4/100) * 50000
2000
Step-by-step explanation:
4x + 2y = 10 --------(1)
2x + 3y = 33 -----------(2)
Multiply 2 with eq. (1) and 4 with eq. (2)
8x + 4y = 20 ____________(3)
8x + 12y = 132 ______(4)
Subtracting (3) from (4),
8x + 4y = 20
- 8x -12y = -132
----------------------
0 -8y = -112
y = 112/8
y = 4 is the answer.
Putting the vakue of y in eq. (2),
2x + 12 = 33
2x = 33-12
2x = 21
x = 21/2 is the answer.
