The point-slope form:
m - slope
We have the origin (0, 0) and the slope m = 2. Substitute:
Answer:
A significant correlation means that there is a significant (in a statistical point of view) correlation between two things.
Then a significant correlation means that we have a (measurable) correlation between the variables in our experiment.
Now, the factors are the variables that experimenters control during an experiment in order to determine their effect on the response variable, then having a positive correlation between two factors, means that when we change one, the other is also affected by the change in the first one.
Then the statement is true.
Answer:
17 km per hour
Step-by-step explanation:
60/4 = 15
68/4 = 17
Recall the half-angle identity:
So in order to find
, we only need to know the value of
. But there are two possible values. To decide which to take, we use the given information: we know that
lies in quadrant III, which means
, so
, which places
in quadrant II. In this quadrant, the sine of angle is positive, and so
is an angle of a ray whose terminal point,
lies on the circle
. The
-coordinate is all we need to know in order to find that
. So,
Answer:
x =-5± 2i sqrt(14)
Step-by-step explanation:
x^2 + 10x= -81
Take the coefficient of x and divide by 2
10/2 = 5
Square it
5^2 =25
add to each side
x^2 + 10x+25 = -81+25
( x+5) ^2 = -56
Take the square root of each side
sqrt(( x+5) ^2) =± sqrt(-56)
x+5 = ± sqrt(-1) sqrt(4*14)
x+5 =± i sqrt(4)sqrt(14)
x+5 =± i 2 sqrt(14)
Subtract 5 from each side
x+5-5 =-5± i 2 sqrt(14)
x =-5± 2i sqrt(14)
