Since the example circle is not shown, I can not answer thoroughly, but I will try my best.
The equation of a circle: (x - h)² + (y - k)² = r², where (h,k) is the center and r is the radius of the circle.
This means that for the radius to be two units, the right side of the equation is 2² = 4. So either B or d can be right.
Depending on the center of the given circle, we could narrow down to our final answer. If the center is (4,5), B is right, and if (5,4) is the center, D is right.
Y=-1.5x+1.5
we can see the y-intercept is at (0, 1.5).
And when the line goes to the right 1 unit, it's at (1, 0), which is going down 1.5 units, meaning the slope is -1.5x. you can check this in desmos graphic calculator and you'll see the points on the line if you want
Answer:
Step-by-step explanation:
Given that the bivariate distribution of X and Y is described below:
x 1 2
y
1 0.21 0.14 0.35
0 0.47 0.18 0.65
Pdf of Y is
Y 1 0
p 0.68 0.32
C) Pdf of X is
x 1 2
p 0.35 0.65
Mean of X = 
Var(x) = E(x^2)-Mean ^2 = 
C) Mean of Y = 1(0.68)+0 = 0.68
Var(y) = 1(0.68)-0.68^2
= 0.2176
Answer:
66 degrees.
Step-by-step explanation:
angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.
Add 56 and 58, you'd get 114.
180-114=66
angle 2=66 degrees.