Answer:
(d.) Those who score high on one variable tend to score low on the other.
Step-by-step explanation:
A negative value of correlation coefficient (r) shows a relationship between two variables such that as one variable increases, the other decreases. It shows the inverse relationship between two variables with the dependence determined by the value of the correlation coefficient (r).
It can be observed that for graphs with negative slope, the correlation coefficient (r) is similarly negative. This speaks about its relationship too.
The correlation coefficient being negative doesn't mean the relationship between the two variables in question is bad, it just means that the correlation relationship is inverse (still dependent). A perfectly negative correlation is -1.
Answer: The area of the enlargement is 315cm.
Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm
Answer:
y = 1/2x -1.5
Step-by-step explanation:
The equation of a line is typically written as y = mx + b.
m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.
Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.
y = 1/2x + b
In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.
-3 = 1/2(-3) + b
One half of -3 is -1.5.
-3 = -1.5 + b
Add -1.5 to both sides of the equation.
-3 = -1.5 + b
+1.5 +1.5
-1.5 = b
Since we found the y-intercept, we can now place it into our equation.
y = 1/2x -1.5 and that's the answer!
12 gallons of gas can be bought from $30 where gas costs $2.42 per gallon.
<u>Solution:</u>
The gallons of gas bought can be calculated by dividing the total amount possessed by cost of gas per gallon.
Here total amount possesses is $30 and cost of gas per gallon is $2.42.
Gallons of gas bought = 
2x + 3 = 20
Subtract 2 from both sides
2x= 27
X= 13.5
