<u>Answer-</u>
<em>A. strong negative correlation.</em>
<u>Solution-</u>
<u>Direction of a relationship</u>
- Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
-
Negative- If one variable increases, the other tends to decrease, and vice-versa. It is represented by negative numbers(i.e 0 to -1)
<u>Strength of a relationship</u>
- Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
- No relationship- When two variables have no relationship at all, their correlation is 0.
As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.
3-(s+4)
less than- subtract
sum- addition
since it said 3 less than the sum of a number and 4 that means you would have to add s and 4
Answer:
C. 60 ft
Step-by-step explanation:
If triangles ABC and EDC are in a 1:1 relation, they are congruent, and
AC = EC
5x - 5 = 3x + 9
5x = 3x + 14
2x = 14
x = 7
AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft
EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft
Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft
"When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h."
Answer:
C
Step-by-step explanation:
Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.
First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.
Let's use variables g, representing George's age and m representing Maria's age
m = 2g + 3
Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.
subtract the 3 from both sides, like so:
m - 3 = 2g
then divide 2 from both sides: (remember we're dividing the whole thing)
(m-3)/2 = g
Now we have an expression for George's age in terms of Maria's.
g = (m-3)/2 or 
The answer that gives us this, is C.
