Answer:
Option b) r = 0.70
Step-by-step explanation:
We are given the following in he question:
Variables:
x = the number of hours spent studying for a test
y = the number of points earned on the test
- Correlation is a technique that help us to find or define a relationship between two variables.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
- Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
- Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
As the number of hours increases, the number of points earned on the test increases. Thus, the two variables are positively correlated.
Thus, the coefficient correlation between two variables can be given by r = 0.70, that shows a moderate positive correlation.
Option b) r = 0.70
The distance from the tower to the fire is 529.10feet
<h3>Angle of depression</h3>
The distance from the tower to the fire is the hypotenuse of the resulting triangle
Given the following
- Height of the tower = 110ft
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 12 = 110/H
H = 110/sin12
H = 110/0.2079
H = 529.10
Hence the distance from the tower to the fire is 529.10feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
y = 
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = , hence
y = x + c ← is the partial equation
To find c substitute (- 10, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = x + 8
A-
3x+6=18
3x=18-6
3x=12
X=4
A is the correct answer
D 39.25 which isn't far from 40
