The volume of a prism is given by its base area multiplied by its height.
The bases are two right triangles. If we project everything on the xy plane, we can see that the vertices of the base triangle is
So, leg AB is 3 units long, and leg AC is 4 units long. This means that the area of the triangle is
The height of the prism connects, for example, points 
and 
, so it's 5 units long. So, the volume of the prism is
Answer:
X : ___ 0 ____ 1 _____ 2 ______ 3
P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15
Step-by-step explanation:
From the data, to produce a probability distribution for the data :
X : number of times blood is drawn ;
P(x) : probability that blood is drawn at X times
Hence, the probability distribution table for the data Given goes thus :
X : ___ 0 ____ 1 _____ 2 ______ 3
P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15
Probability that blood is drawn 0 times = 6/15
Probability that blood is drawn 1 time = 5/15
Probability that blood is drawn 2 times = 3/15
Probability that blood is drawn 3 times = 1/15
(6/15 + 5/15 + 3/15 + 1/15) = 1
Answer:
zeros: -11 , 7
Line of symmetry: x = -2
Step-by-step explanation:
y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)
y = 0
x = - 11 or x = 7
line of symmetry: x = 1/2 (-11 + 7) = -2
2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162
vertex (h , k): h = -2 , k = -162
Line of symmetry: x = -2
Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:
Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:
Then
So The coordinates of the center of the ellipse are (7, -3)
